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12057344 = 28133623
BaseRepresentation
bin101101111111…
…101100000000
3211200120120022
4231333230000
511041313334
61110233012
7204325415
oct55775400
924616508
1012057344
116895952
124055768
132662130
14185c10c
1510d282e
hexb7fb00

12057344 has 36 divisors (see below), whose sum is σ = 25926096. Its totient is φ = 5563392.

The previous prime is 12057323. The next prime is 12057347. The reversal of 12057344 is 44375021.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12057347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1517 + ... + 5139.

Almost surely, 212057344 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 12057344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963048).

12057344 is an abundant number, since it is smaller than the sum of its proper divisors (13868752).

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

12057344 is an equidigital number, since it uses as much as digits as its factorization.

12057344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 12057344 is about 3472.3686440238. The cubic root of 12057344 is about 229.3069496720.

The spelling of 12057344 in words is "twelve million, fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 3623 7246 14492 28984 47099 57968 94198 115936 188396 231872 376792 463744 753584 927488 1507168 3014336 6028672 12057344