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34280235684 = 22321756013457
BaseRepresentation
bin11111111011010000…
…101110001010100100
310021111001022101220200
4133323100232022210
51030201220020214
623425332230500
72322332124042
oct377320561244
9107431271820
1034280235684
11135a13324a2
12678846b430
133304084536
141932aa9392
15d597a6d09
hex7fb42e2a4

34280235684 has 36 divisors (see below), whose sum is σ = 91750044204. Its totient is φ = 10754583552.

The previous prime is 34280235659. The next prime is 34280235707. The reversal of 34280235684 is 48653208243.

34280235684 is a `hidden beast` number, since 3 + 4 + 2 + 80 + 2 + 3 + 568 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13696020900 + 20584214784 = 117030^2 + 143472^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 28006117 + ... + 28007340.

It is an arithmetic number, because the mean of its divisors is an integer number (2548612339).

Almost surely, 234280235684 is an apocalyptic number.

34280235684 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34280235684 is an abundant number, since it is smaller than the sum of its proper divisors (57469808520).

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

34280235684 is a wasteful number, since it uses less digits than its factorization.

34280235684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56013484 (or 56013479 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 34280235684 in words is "thirty-four billion, two hundred eighty million, two hundred thirty-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 56013457 112026914 168040371 224053828 336080742 504121113 672161484 952228769 1008242226 1904457538 2016484452 2856686307 3808915076 5713372614 8570058921 11426745228 17140117842 34280235684