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104251344 = 24317251509
BaseRepresentation
bin1100011011010…
…11111111010000
321021011111221220
412031223333100
5203142020334
614202245040
72404056531
oct615537720
9237144856
10104251344
115393563a
122aab6780
13187a18b2
14dbba688
159244449
hex636bfd0

104251344 has 80 divisors (see below), whose sum is σ = 286856640. Its totient is φ = 32512000.

The previous prime is 104251333. The next prime is 104251349. The reversal of 104251344 is 443152401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104251349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204562 + ... + 205070.

It is an arithmetic number, because the mean of its divisors is an integer number (3585708).

Almost surely, 2104251344 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 104251344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143428320).

104251344 is an abundant number, since it is smaller than the sum of its proper divisors (182605296).

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

104251344 is a wasteful number, since it uses less digits than its factorization.

104251344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 104251344 is about 10210.3547440821. The cubic root of 104251344 is about 470.6454749835.

The spelling of 104251344 in words is "one hundred four million, two hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 251 272 408 502 509 753 816 1004 1018 1506 1527 2008 2036 3012 3054 4016 4072 4267 6024 6108 8144 8534 8653 12048 12216 12801 17068 17306 24432 25602 25959 34136 34612 51204 51918 68272 69224 102408 103836 127759 138448 204816 207672 255518 383277 415344 511036 766554 1022072 1533108 2044144 2171903 3066216 4343806 6132432 6515709 8687612 13031418 17375224 26062836 34750448 52125672 104251344