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34102452717 = 3226931407041
BaseRepresentation
bin11111110000101010…
…100010000111101101
310021000122210002112100
4133300222202013231
51024320211441332
623355541525313
72315043031254
oct376052420755
9107018702470
1034102452717
111350aa44523
126738a13839
1332a62a8808
14191722b79b
15d48d8a67c
hex7f0aa21ed

34102452717 has 12 divisors (see below), whose sum is σ = 49277424924. Its totient is φ = 22726510080.

The previous prime is 34102452697. The next prime is 34102452719. The reversal of 34102452717 is 71725420143.

34102452717 is a `hidden beast` number, since 34 + 102 + 452 + 71 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25088659236 + 9013793481 = 158394^2 + 94941^2 .

It is not a de Polignac number, because 34102452717 - 231 = 31954969069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102452719) 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 11 ways as a sum of consecutive naturals, for example, 679284 + ... + 727757.

It is an arithmetic number, because the mean of its divisors is an integer number (4106452077).

Almost surely, 234102452717 is an apocalyptic number.

It is an amenable number.

34102452717 is a deficient number, since it is larger than the sum of its proper divisors (15174972207).

34102452717 is a wasteful number, since it uses less digits than its factorization.

34102452717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409740 (or 1409737 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 34102452717 in words is "thirty-four billion, one hundred two million, four hundred fifty-two thousand, seven hundred seventeen".

Divisors: 1 3 9 2693 8079 24237 1407041 4221123 12663369 3789161413 11367484239 34102452717