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34131648 = 2631710457
BaseRepresentation
bin1000001000110…
…0111011000000
32101020001211010
42002030323000
532214203043
63215320520
7563054115
oct202147300
971201733
1034131648
11182a2681
12b520140
1370c0755
14476690c
152ee3133
hex208cec0

34131648 has 56 divisors (see below), whose sum is σ = 95627952. Its totient is φ = 10706944.

The previous prime is 34131623. The next prime is 34131653. The reversal of 34131648 is 84613143.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 1965 + ... + 8492.

It is an arithmetic number, because the mean of its divisors is an integer number (1707642).

Almost surely, 234131648 is an apocalyptic number.

It is an amenable number.

34131648 is an abundant number, since it is smaller than the sum of its proper divisors (61496304).

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

34131648 is a wasteful number, since it uses less digits than its factorization.

34131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10489 (or 10479 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 34131648 is about 5842.2297113345. The cubic root of 34131648 is about 324.3787675210.

The spelling of 34131648 in words is "thirty-four million, one hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 10457 20914 31371 41828 62742 83656 125484 167312 177769 250968 334624 355538 501936 533307 669248 711076 1003872 1066614 1422152 2007744 2133228 2844304 4266456 5688608 8532912 11377216 17065824 34131648