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34130930568 = 23371731174337
BaseRepresentation
bin11111110010010111…
…001010101110001000
310021002122100220210120
4133302113022232020
51024400004234233
623402440143240
72315540060130
oct376227125610
9107078326716
1034130930568
1113525025339
126746467b20
1332ac169a07
14191ad21ac0
15d4b6134b3
hex7f25cab88

34130930568 has 64 divisors (see below), whose sum is σ = 98080709760. Its totient is φ = 9695318016.

The previous prime is 34130930567. The next prime is 34130930597. The reversal of 34130930568 is 86503903143.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (34130930563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558105 + ... + 616232.

It is an arithmetic number, because the mean of its divisors is an integer number (1532511090).

Almost surely, 234130930568 is an apocalyptic number.

It is an amenable number.

34130930568 is an abundant number, since it is smaller than the sum of its proper divisors (63949779192).

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

34130930568 is a wasteful number, since it uses less digits than its factorization.

34130930568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174526 (or 1174522 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 34130930568 in words is "thirty-four billion, one hundred thirty million, nine hundred thirty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 173 346 519 692 1038 1211 1384 2076 2422 3633 4152 4844 7266 9688 14532 29064 1174337 2348674 3523011 4697348 7046022 8220359 9394696 14092044 16440718 24661077 28184088 32881436 49322154 65762872 98644308 197288616 203160301 406320602 609480903 812641204 1218961806 1422122107 1625282408 2437923612 2844244214 4266366321 4875847224 5688488428 8532732642 11376976856 17065465284 34130930568