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332056928 = 257330253
BaseRepresentation
bin10011110010101…
…100100101100000
3212010211020110202
4103302230211200
51140001310203
652541044332
711141303000
oct2362544540
9763736422
10332056928
1116048a315
12932566a8
1353a430b8
143215a000
151e242388
hex13cac960

332056928 has 48 divisors (see below), whose sum is σ = 762400800. Its totient is φ = 142305408.

The previous prime is 332056919. The next prime is 332056943. The reversal of 332056928 is 829650233.

332056928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3320569282 = 220523606865594368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332056891 and 332056900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4151 + ... + 26102.

It is an arithmetic number, because the mean of its divisors is an integer number (15883350).

Almost surely, 2332056928 is an apocalyptic number.

It is an amenable number.

332056928 is an abundant number, since it is smaller than the sum of its proper divisors (430343872).

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

332056928 is an equidigital number, since it uses as much as digits as its factorization.

332056928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30284 (or 30262 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 332056928 is about 18222.4292562765. The cubic root of 332056928 is about 692.4751322813.

The spelling of 332056928 in words is "three hundred thirty-two million, fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5488 10976 30253 60506 121012 211771 242024 423542 484048 847084 968096 1482397 1694168 2964794 3388336 5929588 6776672 10376779 11859176 20753558 23718352 41507116 47436704 83014232 166028464 332056928