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34361707712 = 264114987887
BaseRepresentation
bin100000000000000111…
…100000110011000000
310021200201121121112012
4200000013200303000
51030333044121322
623441402352052
72324341460603
oct400007406300
9107621547465
1034361707712
1113633319652
1267ab7bb628
133317c0b937
14193d83633a
15d619ebae2
hex8001e0cc0

34361707712 has 56 divisors (see below), whose sum is σ = 70319188800. Its totient is φ = 16649123840.

The previous prime is 34361707687. The next prime is 34361707741. The reversal of 34361707712 is 21770716343.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 34361707712.

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, 347033 + ... + 434919.

It is an arithmetic number, because the mean of its divisors is an integer number (1255699800).

Almost surely, 234361707712 is an apocalyptic number.

34361707712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34361707712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35159594400).

34361707712 is an abundant number, since it is smaller than the sum of its proper divisors (35957481088).

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

34361707712 is a wasteful number, since it uses less digits than its factorization.

34361707712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88089 (or 88079 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 41.

The spelling of 34361707712 in words is "thirty-four billion, three hundred sixty-one million, seven hundred seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 149 164 298 328 596 656 1192 1312 2384 2624 4768 6109 9536 12218 24436 48872 87887 97744 175774 195488 351548 390976 703096 1406192 2812384 3603367 5624768 7206734 13095163 14413468 26190326 28826936 52380652 57653872 104761304 115307744 209522608 230615488 419045216 536901683 838090432 1073803366 2147606732 4295213464 8590426928 17180853856 34361707712