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34239986208 = 2532607195863
BaseRepresentation
bin11111111000110111…
…001011101000100000
310021101020120112000100
4133320313023220200
51030110414024313
623421333422400
72321333036451
oct377067135040
9107336515010
1034239986208
111358064146a
126776a9aa00
1332c893128c
14192b5cd128
15d55ea6173
hex7f8dcba20

34239986208 has 72 divisors (see below), whose sum is σ = 97530870528. Its totient is φ = 11394467712.

The previous prime is 34239986171. The next prime is 34239986233. The reversal of 34239986208 is 80268993243.

It is a happy number.

34239986208 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 9 + 9 + 8 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 76885 + ... + 272747.

It is an arithmetic number, because the mean of its divisors is an integer number (1354595424).

Almost surely, 234239986208 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 34239986208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48765435264).

34239986208 is an abundant number, since it is smaller than the sum of its proper divisors (63290884320).

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

34239986208 is a wasteful number, since it uses less digits than its factorization.

34239986208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196486 (or 196475 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 34239986208 in words is "thirty-four billion, two hundred thirty-nine million, nine hundred eighty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 607 1214 1821 2428 3642 4856 5463 7284 9712 10926 14568 19424 21852 29136 43704 58272 87408 174816 195863 391726 587589 783452 1175178 1566904 1762767 2350356 3133808 3525534 4700712 6267616 7051068 9401424 14102136 18802848 28204272 56408544 118888841 237777682 356666523 475555364 713333046 951110728 1069999569 1426666092 1902221456 2139999138 2853332184 3804442912 4279998276 5706664368 8559996552 11413328736 17119993104 34239986208