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13629344 = 251014217
BaseRepresentation
bin110011111111…
…011110100000
3221122102221112
4303333132200
511442114334
61204042452
7223563461
oct63773640
927572845
1013629344
117769a23
124693428
132a92801
141b4ad68
1512e34ce
hexcff7a0

13629344 has 24 divisors (see below), whose sum is σ = 27104868. Its totient is φ = 6745600.

The previous prime is 13629337. The next prime is 13629349. The reversal of 13629344 is 44392631.

It can be written as a sum of positive squares in 2 ways, for example, as 10316944 + 3312400 = 3212^2 + 1820^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13629344.

It is not an unprimeable number, because it can be changed into a prime (13629349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1124 + ... + 5340.

Almost surely, 213629344 is an apocalyptic number.

It is an amenable number.

13629344 is a deficient number, since it is larger than the sum of its proper divisors (13475524).

13629344 is a wasteful number, since it uses less digits than its factorization.

13629344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4320 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 13629344 is about 3691.7941437735. The cubic root of 13629344 is about 238.8681894289.

The spelling of 13629344 in words is "thirteen million, six hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 101 202 404 808 1616 3232 4217 8434 16868 33736 67472 134944 425917 851834 1703668 3407336 6814672 13629344