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3230679456 = 2532174311531
BaseRepresentation
bin1100000010010000…
…0100000110100000
322100011002112001200
43000210010012200
523104023220311
61252324401200
7143026215354
oct30044040640
98304075050
103230679456
1114086a8324
12761b46200
133c6420b64
142290d3464
1513d95d556
hexc09041a0

3230679456 has 144 divisors (see below), whose sum is σ = 9756609408. Its totient is φ = 1010534400.

The previous prime is 3230679443. The next prime is 3230679479. The reversal of 3230679456 is 6549760323.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2109411 + ... + 2110941.

It is an arithmetic number, because the mean of its divisors is an integer number (67754232).

Almost surely, 23230679456 is an apocalyptic number.

3230679456 is a gapful number since it is divisible by the number (36) 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 3230679456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878304704).

3230679456 is an abundant number, since it is smaller than the sum of its proper divisors (6525929952).

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

3230679456 is a wasteful number, since it uses less digits than its factorization.

3230679456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3230679456 is about 56839.0662836750. The cubic root of 3230679456 is about 1478.3069658806.

The spelling of 3230679456 in words is "three billion, two hundred thirty million, six hundred seventy-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 431 544 612 816 862 1224 1293 1531 1632 1724 2448 2586 3062 3448 3879 4593 4896 5172 6124 6896 7327 7758 9186 10344 12248 13779 13792 14654 15516 18372 20688 21981 24496 26027 27558 29308 31032 36744 41376 43962 48992 52054 55116 58616 62064 65943 73488 78081 87924 104108 110232 117232 124128 131886 146976 156162 175848 208216 220464 234243 234464 263772 312324 351696 416432 440928 468486 527544 624648 659861 703392 832864 936972 1055088 1249296 1319722 1873944 1979583 2110176 2498592 2639444 3747888 3959166 5278888 5938749 7495776 7918332 10557776 11217637 11877498 15836664 21115552 22435274 23754996 31673328 33652911 44870548 47509992 63346656 67305822 89741096 95019984 100958733 134611644 179482192 190039968 201917466 269223288 358964384 403834932 538446576 807669864 1076893152 1615339728 3230679456