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432994056 = 233116012729
BaseRepresentation
bin11001110011101…
…111011100001000
31010011202101011220
4121303233130020
51341321302211
6110544322040
713505250225
oct3163573410
91104671156
10432994056
11202460930
12101013320
136b924301
144171294c
152802e806
hex19cef708

432994056 has 64 divisors (see below), whose sum is σ = 1183291200. Its totient is φ = 130944000.

The previous prime is 432994049. The next prime is 432994087. The reversal of 432994056 is 650499234.

It is a super-2 number, since 2×4329940562 = 374967705062662272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432993999 and 432994017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157300 + ... + 160028.

It is an arithmetic number, because the mean of its divisors is an integer number (18488925).

Almost surely, 2432994056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432994056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591645600).

432994056 is an abundant number, since it is smaller than the sum of its proper divisors (750297144).

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

432994056 is a wasteful number, since it uses less digits than its factorization.

432994056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 432994056 is about 20808.5092209894. The cubic root of 432994056 is about 756.5320154308.

The spelling of 432994056 in words is "four hundred thirty-two million, nine hundred ninety-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 601 1202 1803 2404 2729 3606 4808 5458 6611 7212 8187 10916 13222 14424 16374 19833 21832 26444 30019 32748 39666 52888 60038 65496 79332 90057 120076 158664 180114 240152 360228 720456 1640129 3280258 4920387 6560516 9840774 13121032 18041419 19681548 36082838 39363096 54124257 72165676 108248514 144331352 216497028 432994056