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318690432 = 27321716273
BaseRepresentation
bin10010111111101…
…101010010000000
3211012200011002100
4102333231102000
51123041043212
651342350400
710616552424
oct2277552200
9735604070
10318690432
1115398a925
128a88b400
1351043128
143047ab84
151cea1bdc
hex12fed480

318690432 has 96 divisors (see below), whose sum is σ = 971069580. Its totient is φ = 99975168.

The previous prime is 318690389. The next prime is 318690469. The reversal of 318690432 is 234096813.

It can be written as a sum of positive squares in 2 ways, for example, as 259338816 + 59351616 = 16104^2 + 7704^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11448 + ... + 27720.

Almost surely, 2318690432 is an apocalyptic number.

318690432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485534790).

318690432 is an abundant number, since it is smaller than the sum of its proper divisors (652379148).

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

318690432 is a wasteful number, since it uses less digits than its factorization.

318690432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16310 (or 16295 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 318690432 is about 17851.9027557289. The cubic root of 318690432 is about 683.0560488836.

The spelling of 318690432 in words is "three hundred eighteen million, six hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 16273 19584 32546 48819 65092 97638 130184 146457 195276 260368 276641 292914 390552 520736 553282 585828 781104 829923 1041472 1106564 1171656 1562208 1659846 2082944 2213128 2343312 2489769 3124416 3319692 4426256 4686624 4979538 6248832 6639384 8852512 9373248 9959076 13278768 17705024 18746496 19918152 26557536 35410048 39836304 53115072 79672608 106230144 159345216 318690432