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104041344 = 2731124631
BaseRepresentation
bin1100011001110…
…00101110000000
321020202211220010
412030320232000
5203113310334
614153544520
72402223351
oct614705600
9236684803
10104041344
1153801890
122aa15140
131872a134
14db63d28
1592020e9
hex6338b80

104041344 has 64 divisors (see below), whose sum is σ = 301495680. Its totient is φ = 31526400.

The previous prime is 104041337. The next prime is 104041349. The reversal of 104041344 is 443140401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1040413442 = 21649202522652672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104041344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104041349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8092 + ... + 16539.

It is an arithmetic number, because the mean of its divisors is an integer number (4710870).

Almost surely, 2104041344 is an apocalyptic number.

It is an amenable number.

104041344 is an abundant number, since it is smaller than the sum of its proper divisors (197454336).

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

104041344 is a wasteful number, since it uses less digits than its factorization.

104041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24659 (or 24647 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 104041344 is about 10200.0658821402. The cubic root of 104041344 is about 470.3292456865.

Adding to 104041344 its reverse (443140401), we get a palindrome (547181745).

The spelling of 104041344 in words is "one hundred four million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 24631 49262 73893 98524 147786 197048 270941 295572 394096 541882 591144 788192 812823 1083764 1182288 1576384 1625646 2167528 2364576 3152768 3251292 4335056 4729152 6502584 8670112 9458304 13005168 17340224 26010336 34680448 52020672 104041344