300 (number)


300 is the natural number following 299 and preceding 301.

In mathematics

300 is a composite number and the 24th triangular number. It is also a second hexagonal number.

Integers from 301 to 399

300s

301

302

303

304

305

306

307

308

309

310s

310

311

312

313

314

315

316

316 = 22 × 79, a centered triangular number and a centered heptagonal number.

317

317 is the smallest natural number that does not have its own Wikipedia article, a fact that has itself been noted as making the number notable, creating a situation similar to the interesting number paradox.
317 is a prime number, Eisenstein prime with no imaginary part, Chen prime, one of the rare primes to be both right and left-truncatable, and a strictly non-palindromic number.
317 is the exponent in the fourth base-10 repunit prime.

318

319

319 = 11 × 29. 319 is the sum of three consecutive primes, Smith number, cannot be represented as the sum of fewer than 19 fourth powers, happy number in base 10

320s

320

320 = 26 × 5 = ×. 320 is a Leyland number, and maximum determinant of a 10 by 10 matrix of zeros and ones.

321

321 = 3 × 107, a Delannoy number

322

322 = 2 × 7 × 23. 322 is a sphenic, nontotient, untouchable, and a Lucas number. It is also the first unprimeable number to end in 2.

323

324

324 = 22 × 34 = 182. 324 is the sum of four consecutive primes, totient sum of the first 32 integers, a square number, and an untouchable number.

325

326

326 = 2 × 163. 326 is a nontotient, noncototient, and an untouchable number. 326 is the sum of the 14 consecutive primes, lazy caterer number

327

327 = 3 × 109. 327 is a perfect totient number, number of compositions of 10 whose run-lengths are either weakly increasing or weakly decreasing

328

328 = 23 × 41. 328 is a refactorable number, and it is the sum of the first fifteen primes.

329

329 = 7 × 47. 329 is the sum of three consecutive primes, and a highly cototient number.

330s

330

330 = 2 × 3 × 5 × 11. 330 is sum of six consecutive primes, pentatope number, a pentagonal number, divisible by the number of primes below it, and a sparsely totient number.

331

331 is a prime number, super-prime, cuban prime, a lucky prime, sum of five consecutive primes, centered pentagonal number, centered hexagonal number, and Mertens function returns 0.

332

332 = 22 × 83, Mertens function returns 0.

333

333 = 32 × 37, Mertens function returns 0; repdigit; 2333 is the smallest power of two greater than a googol.

334

334 = 2 × 167, nontotient.

335

335 = 5 × 67. 335 is divisible by the number of primes below it, number of Lyndon words of length 12.

336

336 = 24 × 3 × 7, untouchable number, number of partitions of 41 into prime parts, largely composite number.

337

337, prime number, emirp, permutable prime with 373 and 733, Chen prime, star number

338

338 = 2 × 132, nontotient, number of square -matrices without zero rows and with exactly 4 entries equal to 1.

339

339 = 3 × 113, Ulam number

340s

340

340 = 22 × 5 × 17, sum of eight consecutive primes, sum of ten consecutive primes, sum of the first four powers of 4, divisible by the number of primes below it, nontotient, noncototient. Number of formed by drawing the line segments connecting any two of the 12 perimeter points of a 3 times 3 grid of squares and.

341

342

342 = 2 × 32 × 19, pronic number, Untouchable number.

343

343 = 73, the first nice Friedman number that is composite since 343 = 3. It is the only known example of x2+x+1 = y3, in this case, x=18, y=7. It is z3 in a triplet such that x5 + y2 = z3.

344

344 = 23 × 43, octahedral number, noncototient, totient sum of the first 33 integers, refactorable number.

345

345 = 3 × 5 × 23, sphenic number, idoneal number

346

346 = 2 × 173, Smith number, noncototient.

348

348 = 22 × 3 × 29, sum of four consecutive primes, refactorable number.

349

349, prime number, twin prime, lucky prime, sum of three consecutive primes, 5349 - 4349 is a prime number.

350s

350

350 = 2 × 52 × 7 = Stirling numbers of the second kind|, primitive semiperfect number, divisible by the number of primes below it, nontotient, a truncated icosahedron of frequency 6 has 350 hexagonal faces and 12 pentagonal faces.

351

351 = 33 × 13, 26th triangular number, sum of five consecutive primes, member of Padovan sequence and number of compositions of 15 into distinct parts.
352 = 25 × 11, the number of n-Queens Problem solutions for n = 9. It is the sum of two consecutive primes, lazy caterer number
354 = 2 × 3 × 59 = 14 + 24 + 34 + 44, sphenic number, nontotient, also SMTP code meaning start of mail input. It is also sum of absolute value of the coefficients of Conway's polynomial.
  • The international calling code for Iceland

    355

355 = 5 × 71, Smith number, Mertens function returns 0, divisible by the number of primes below it. The cototient of 355 is 75, where 75 is the product of its digits.
The numerator of the best simplified rational approximation of pi having a denominator of four digits or fewer. This fraction is known as Milü and provides an extremely accurate approximation for pi, being accurate to seven digits.

356

356 = 22 × 89, Mertens function returns 0.

357

357 = 3 × 7 × 17, sphenic number.

358

358 = 2 × 179, sum of six consecutive primes, Mertens function returns 0, number of ways to partition and then partition each cell into subcells.
  • The international calling code for Finland

    359

360s

360

361

361 = 192. 361 is a centered triangular number, centered octagonal number, centered decagonal number, member of the Mian–Chowla sequence; also the number of positions on a standard 19 x 19 Go board.

362

362 = 2 × 181 = σ2: sum of squares of divisors of 19, Mertens function returns 0, nontotient, noncototient.

363

364

364 = 22 × 7 × 13, tetrahedral number, sum of twelve consecutive primes, Mertens function returns 0, nontotient.
It is a repdigit in base 3, base 9, base 25, base 27, base 51 and base 90, the sum of six consecutive powers of 3, and because it is the twelfth non-zero tetrahedral number.

365

366

366 = 2 × 3 × 61, sphenic number, Mertens function returns 0, noncototient, number of complete partitions of 20, 26-gonal and 123-gonal. Also the number of days in a leap year.

367

367 is a prime number, a lucky prime, Perrin number, happy number, prime index prime and a strictly non-palindromic number.

368

368 = 24 × 23. It is also a Leyland number.

369

370s

370

370 = 2 × 5 × 37, sphenic number, sum of four consecutive primes, nontotient, with 369 part of a Ruth–Aaron pair with only distinct prime factors counted, Base 10 Armstrong number since 33 + 73 + 03 = 370.

371

371 = 7 × 53, sum of three consecutive primes, sum of seven consecutive primes, sum of the primes from its least to its greatest prime factor, the next such composite number is 2935561623745, Armstrong number since 33 + 73 + 13 = 371.

372

372 = 22 × 3 × 31, sum of eight consecutive primes, noncototient, untouchable number, --> refactorable number.

373

373, prime number, balanced prime, one of the rare primes to be both right and left-truncatable, sum of five consecutive primes, sexy prime with 367 and 379, permutable prime with 337 and 733, palindromic prime in 3 consecutive bases: 5658 = 4549 = 37310 and also in base 4: 113114.

374

374 = 2 × 11 × 17, sphenic number, nontotient, 3744 + 1 is prime.

375

375 = 3 × 53, number of regions in regular 11-gon with all diagonals drawn.

376

376 = 23 × 47, pentagonal number, 1-automorphic number, nontotient, refactorable number.

377

378

378 = 2 × 33 × 7, 27th triangular number, cake number, hexagonal number, Smith number.

379

379 is a prime number, Chen prime, lazy caterer number and a happy number in base 10. It is the sum of the first 15 odd primes. 379! - 1 is prime.

380s

380

380 = 22 × 5 × 19, pronic number, number of regions into which a figure made up of a row of 6 adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles.