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3204369312 = 253313729101
BaseRepresentation
bin1011111011111110…
…1100101110100000
322021022120211022220
42332333230232200
523030304304222
61245544431040
7142256455404
oct27677545640
98238524286
103204369312
1113a4868101
12755178480
133c0b3b521
14225805104
1513b4b2b5c
hexbefecba0

3204369312 has 96 divisors (see below), whose sum is σ = 8917784064. Its totient is φ = 1005696000.

The previous prime is 3204369307. The next prime is 3204369313. The reversal of 3204369312 is 2139634023.

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

It is not an unprimeable number, because it can be changed into a prime (3204369313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95562 + ... + 124662.

It is an arithmetic number, because the mean of its divisors is an integer number (92893584).

Almost surely, 23204369312 is an apocalyptic number.

3204369312 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 3204369312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458892032).

3204369312 is an abundant number, since it is smaller than the sum of its proper divisors (5713414752).

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

3204369312 is a wasteful number, since it uses less digits than its factorization.

3204369312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29182 (or 29174 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3204369312 is about 56607.1489478140. The cubic root of 3204369312 is about 1474.2829895560.

The spelling of 3204369312 in words is "three billion, two hundred four million, three hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 74 93 96 111 124 148 186 222 248 296 372 444 496 592 744 888 992 1147 1184 1488 1776 2294 2976 3441 3552 4588 6882 9176 13764 18352 27528 29101 36704 55056 58202 87303 110112 116404 174606 232808 349212 465616 698424 902131 931232 1076737 1396848 1804262 2153474 2706393 2793696 3230211 3608524 4306948 5412786 6460422 7217048 8613896 10825572 12920844 14434096 17227792 21651144 25841688 28868192 33378847 34455584 43302288 51683376 66757694 86604576 100136541 103366752 133515388 200273082 267030776 400546164 534061552 801092328 1068123104 1602184656 3204369312