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12629344 = 257134337
BaseRepresentation
bin110000001011…
…010101100000
3212202122012111
4300023111200
511213114334
61130405104
7212230150
oct60132540
925678174
1012629344
117146682
124290794
1328025b0
14196a760
151197064
hexc0b560

12629344 has 48 divisors (see below), whose sum is σ = 30608928. Its totient is φ = 4995072.

The previous prime is 12629339. The next prime is 12629359. The reversal of 12629344 is 44392621.

It is a happy number.

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, 744 + ... + 5080.

It is an arithmetic number, because the mean of its divisors is an integer number (637686).

Almost surely, 212629344 is an apocalyptic number.

12629344 is a gapful number since it is divisible by the number (14) 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 12629344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304464).

12629344 is an abundant number, since it is smaller than the sum of its proper divisors (17979584).

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

12629344 is a wasteful number, since it uses less digits than its factorization.

12629344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4359 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 12629344 is about 3553.7788338612. The cubic root of 12629344 is about 232.8771786635.

The spelling of 12629344 in words is "twelve million, six hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 4337 8674 17348 30359 34696 56381 60718 69392 112762 121436 138784 225524 242872 394667 451048 485744 789334 902096 971488 1578668 1804192 3157336 6314672 12629344