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12977344 = 26312211
BaseRepresentation
bin110001100000…
…010011000000
3220102022120101
4301200103000
511310233334
61142052144
7215206552
oct61402300
926368511
1012977344
117364086
12441a054
1328c4b03
141a1b4d2
151215214
hexc604c0

12977344 has 42 divisors (see below), whose sum is σ = 26735532. Its totient is φ = 6249600.

The previous prime is 12977329. The next prime is 12977347. The reversal of 12977344 is 44377921.

It is a super-2 number, since 2×129773442 = 336822914588672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12977347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61399 + ... + 61609.

Almost surely, 212977344 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 12977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367766).

12977344 is an abundant number, since it is smaller than the sum of its proper divisors (13758188).

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

12977344 is an equidigital number, since it uses as much as digits as its factorization.

12977344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 244 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The square root of 12977344 is about 3602.4080834908. The cubic root of 12977344 is about 234.9967948861.

The spelling of 12977344 in words is "twelve million, nine hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 211 248 422 496 844 961 992 1688 1922 1984 3376 3844 6541 6752 7688 13082 13504 15376 26164 30752 52328 61504 104656 202771 209312 405542 418624 811084 1622168 3244336 6488672 12977344