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12317312 = 27759233
BaseRepresentation
bin101110111111…
…001010000000
3212011210011202
4232333022000
511123123222
61120000332
7206460350
oct56771200
925153152
1012317312
116a531a7
1241600a8
132723567
1418c8b60
151134892
hexbbf280

12317312 has 64 divisors (see below), whose sum is σ = 28641600. Its totient is φ = 5167104.

The previous prime is 12317311. The next prime is 12317317. The reversal of 12317312 is 21371321.

12317312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12317311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52748 + ... + 52980.

It is an arithmetic number, because the mean of its divisors is an integer number (447525).

Almost surely, 212317312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14320800).

12317312 is an abundant number, since it is smaller than the sum of its proper divisors (16324288).

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

12317312 is an equidigital number, since it uses as much as digits as its factorization.

12317312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its digits is 252, while the sum is 20.

The square root of 12317312 is about 3509.6028265318. The cubic root of 12317312 is about 230.9432717405.

Adding to 12317312 its reverse (21371321), we get a palindrome (33688633).

The spelling of 12317312 in words is "twelve million, three hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 233 236 413 448 466 472 826 896 932 944 1631 1652 1864 1888 3262 3304 3728 3776 6524 6608 7456 7552 13048 13216 13747 14912 26096 26432 27494 29824 52192 52864 54988 96229 104384 109976 192458 208768 219952 384916 439904 769832 879808 1539664 1759616 3079328 6158656 12317312