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12324816 = 2432712227
BaseRepresentation
bin101111000000…
…111111010000
3212012011110200
4233000333100
511123343231
61120055200
7206521260
oct57007720
925164420
1012324816
116a588a9
124164500
132726aba
1418cb7a0
151136be6
hexbc0fd0

12324816 has 60 divisors (see below), whose sum is σ = 39423072. Its totient is φ = 3521088.

The previous prime is 12324799. The next prime is 12324821. The reversal of 12324816 is 61842321.

12324816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12324816.

It is a congruent number.

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, 5106 + ... + 7121.

Almost surely, 212324816 is an apocalyptic number.

12324816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12324816 is an abundant number, since it is smaller than the sum of its proper divisors (27098256).

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

12324816 is a wasteful number, since it uses less digits than its factorization.

12324816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12248 (or 12239 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12324816 is about 3510.6717305952. The cubic root of 12324816 is about 230.9901609347.

The spelling of 12324816 in words is "twelve million, three hundred twenty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 12227 24454 36681 48908 73362 85589 97816 110043 146724 171178 195632 220086 256767 293448 342356 440172 513534 586896 684712 770301 880344 1027068 1369424 1540602 1760688 2054136 3081204 4108272 6162408 12324816