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12829344 = 2531112149
BaseRepresentation
bin110000111100…
…001010100000
3220010210112220
4300330022200
511241014334
61134551040
7214022223
oct60741240
926123486
1012829344
117272970
124368480
132872638
1419bd5ba
1511d6449
hexc3c2a0

12829344 has 48 divisors (see below), whose sum is σ = 36741600. Its totient is φ = 3887360.

The previous prime is 12829303. The next prime is 12829379. The reversal of 12829344 is 44392821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5019 + ... + 7130.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 212829344 is an apocalyptic number.

It is an amenable number.

12829344 is an abundant number, since it is smaller than the sum of its proper divisors (23912256).

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

12829344 is a wasteful number, since it uses less digits than its factorization.

12829344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173 (or 12165 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 12829344 is about 3581.8073650044. The cubic root of 12829344 is about 234.1000375832.

The spelling of 12829344 in words is "twelve million, eight hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 12149 24298 36447 48596 72894 97192 133639 145788 194384 267278 291576 388768 400917 534556 583152 801834 1069112 1166304 1603668 2138224 3207336 4276448 6414672 12829344