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12932304 = 2437113499
BaseRepresentation
bin110001010101…
…010011010000
3220100000210020
4301111103100
511302313204
61141103440
7214631340
oct61252320
926300706
1012932304
117333260
1243b7b80
1328aa468
141a08d20
151206bd9
hexc554d0

12932304 has 80 divisors (see below), whose sum is σ = 41664000. Its totient is φ = 3358080.

The previous prime is 12932303. The next prime is 12932321. The reversal of 12932304 is 40323921.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12932303) 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, 1947 + ... + 5445.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 212932304 is an apocalyptic number.

12932304 is a gapful number since it is divisible by the number (14) 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 12932304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832000).

12932304 is an abundant number, since it is smaller than the sum of its proper divisors (28731696).

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

12932304 is a wasteful number, since it uses less digits than its factorization.

12932304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 12932304 is about 3596.1512760172. The cubic root of 12932304 is about 234.7246147928.

The spelling of 12932304 in words is "twelve million, nine hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3499 3696 6998 10497 13996 20994 24493 27992 38489 41988 48986 55984 73479 76978 83976 97972 115467 146958 153956 167952 195944 230934 269423 293916 307912 391888 461868 538846 587832 615824 808269 923736 1077692 1175664 1616538 1847472 2155384 3233076 4310768 6466152 12932304