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34688814568 = 2317416221093
BaseRepresentation
bin100000010011100111…
…010100110111101000
310022112112010100202221
4200103213110313220
51032020314031233
623534045403424
72335423026112
oct402347246750
9108475110687
1034688814568
1113790a278a1
126881269574
13336a90a8a5
1419710643b2
15d805b242d
hex8139d4de8

34688814568 has 32 divisors (see below), whose sum is σ = 70547205960. Its totient is φ = 15925995520.

The previous prime is 34688814553. The next prime is 34688814581. The reversal of 34688814568 is 86541888643.

It can be written as a sum of positive squares in 4 ways, for example, as 23012283204 + 11676531364 = 151698^2 + 108058^2 .

It is a super-2 number, since 2×346888145682 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3104971 + ... + 3116122.

Almost surely, 234688814568 is an apocalyptic number.

It is an amenable number.

34688814568 is an abundant number, since it is smaller than the sum of its proper divisors (35858391392).

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

34688814568 is a wasteful number, since it uses less digits than its factorization.

34688814568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6221157 (or 6221153 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 61.

The spelling of 34688814568 in words is "thirty-four billion, six hundred eighty-eight million, eight hundred fourteen thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 17 34 41 68 82 136 164 328 697 1394 2788 5576 6221093 12442186 24884372 49768744 105758581 211517162 255064813 423034324 510129626 846068648 1020259252 2040518504 4336101821 8672203642 17344407284 34688814568