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3831204864 = 21031773361
BaseRepresentation
bin1110010001011011…
…1000110000000000
3100220000002101001110
43210112320300000
530321242023424
61432100003320
7163640463324
oct34426706000
910800071043
103831204864
111696684a13
128ab090540
13490971936
14284b75984
15176531c29
hexe45b8c00

3831204864 has 88 divisors (see below), whose sum is σ = 10812385008. Its totient is φ = 1201930240.

The previous prime is 3831204803. The next prime is 3831204887. The reversal of 3831204864 is 4684021383.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15544 + ... + 88904.

Almost surely, 23831204864 is an apocalyptic number.

3831204864 is a gapful number since it is divisible by the number (34) 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 3831204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406192504).

3831204864 is an abundant number, since it is smaller than the sum of its proper divisors (6981180144).

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

3831204864 is a wasteful number, since it uses less digits than its factorization.

3831204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73401 (or 73383 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3831204864 is about 61896.7274094519. The cubic root of 3831204864 is about 1564.7505941636.

The spelling of 3831204864 in words is "three billion, eight hundred thirty-one million, two hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4352 6528 8704 13056 17408 26112 52224 73361 146722 220083 293444 440166 586888 880332 1173776 1247137 1760664 2347552 2494274 3521328 3741411 4695104 4988548 7042656 7482822 9390208 9977096 14085312 14965644 18780416 19954192 28170624 29931288 37560832 39908384 56341248 59862576 75121664 79816768 112682496 119725152 159633536 225364992 239450304 319267072 478900608 638534144 957801216 1277068288 1915602432 3831204864