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12357312 = 263115851
BaseRepresentation
bin101111001000…
…111011000000
3212020211001020
4233020323000
511130413222
61120505440
7210015102
oct57107300
925224036
1012357312
116a80260
12417b280
132738826
1418d9572
15114165c
hexbc8ec0

12357312 has 56 divisors (see below), whose sum is σ = 35673792. Its totient is φ = 3744000.

The previous prime is 12357307. The next prime is 12357343. The reversal of 12357312 is 21375321.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 814 + ... + 5037.

It is an arithmetic number, because the mean of its divisors is an integer number (637032).

Almost surely, 212357312 is an apocalyptic number.

12357312 is a gapful number since it is divisible by the number (12) 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 12357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17836896).

12357312 is an abundant number, since it is smaller than the sum of its proper divisors (23316480).

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

12357312 is a wasteful number, since it uses less digits than its factorization.

12357312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5867 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 12357312 is about 3515.2968580192. The cubic root of 12357312 is about 231.1929947631.

Subtracting 12357312 from its reverse (21375321), we obtain a square (9018009 = 30032).

The spelling of 12357312 in words is "twelve million, three hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 5851 11702 17553 23404 35106 46808 64361 70212 93616 128722 140424 187232 193083 257444 280848 374464 386166 514888 561696 772332 1029776 1123392 1544664 2059552 3089328 4119104 6178656 12357312