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335712328 = 23721750377
BaseRepresentation
bin10100000000101…
…001000001001000
3212101200221201221
4110000221001020
51141420243303
653151251424
711214336100
oct2400510110
9771627657
10335712328
11162556706
1294519b74
1354722b63
143282c200
151e7154bd
hex14029048

335712328 has 48 divisors (see below), whose sum is σ = 775317420. Its totient is φ = 135410688.

The previous prime is 335712319. The next prime is 335712337. The reversal of 335712328 is 823217533.

It is an interprime number because it is at equal distance from previous prime (335712319) and next prime (335712337).

It can be written as a sum of positive squares in 2 ways, for example, as 312653124 + 23059204 = 17682^2 + 4802^2 .

It is a super-2 number, since 2×3357123282 = 225405534342359168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 335712293 and 335712302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18525 + ... + 31852.

Almost surely, 2335712328 is an apocalyptic number.

It is an amenable number.

335712328 is an abundant number, since it is smaller than the sum of its proper divisors (439605092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

335712328 is a wasteful number, since it uses less digits than its factorization.

335712328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50414 (or 50403 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 335712328 is about 18322.4542024260. The cubic root of 335712328 is about 695.0068684517.

The spelling of 335712328 in words is "three hundred thirty-five million, seven hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 6664 50377 100754 201508 352639 403016 705278 856409 1410556 1712818 2468473 2821112 3425636 4936946 5994863 6851272 9873892 11989726 19747784 23979452 41964041 47958904 83928082 167856164 335712328