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10857344 = 27271313
BaseRepresentation
bin101001011010…
…101110000000
3202102121110212
4221122232000
510234413334
61024413252
7161200031
oct51325600
922377425
1010857344
116146313
123777228
132331b84
141628a88
15e46ece
hexa5ab80

10857344 has 32 divisors (see below), whose sum is σ = 21779040. Its totient is φ = 5391360.

The previous prime is 10857337. The next prime is 10857359. The reversal of 10857344 is 44375801.

It is a tau number, because it is divible by the number of its divisors (32).

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 10857344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34532 + ... + 34844.

It is an arithmetic number, because the mean of its divisors is an integer number (680595).

Almost surely, 210857344 is an apocalyptic number.

It is an amenable number.

10857344 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

10857344 is an equidigital number, since it uses as much as digits as its factorization.

10857344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 10857344 is about 3295.0484063212. The cubic root of 10857344 is about 221.4324164042.

The spelling of 10857344 in words is "ten million, eight hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 271 313 542 626 1084 1252 2168 2504 4336 5008 8672 10016 17344 20032 34688 40064 84823 169646 339292 678584 1357168 2714336 5428672 10857344