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34315485504 = 2631071670341
BaseRepresentation
bin11111111101010111…
…001100000101000000
310021120111122021120120
4133331113030011000
51030234231014004
623433031540240
72323240546146
oct377527140500
9107514567516
1034315485504
111360a219183
12679822a680
13330b476c11
141937643596
15d5c91b3d9
hex7fd5cc140

34315485504 has 56 divisors (see below), whose sum is σ = 91641643488. Its totient is φ = 11331586560.

The previous prime is 34315485497. The next prime is 34315485571. The reversal of 34315485504 is 40558451343.

It is a congruent number.

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, 814627 + ... + 855714.

Almost surely, 234315485504 is an apocalyptic number.

It is an amenable number.

34315485504 is an abundant number, since it is smaller than the sum of its proper divisors (57326157984).

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

34315485504 is a wasteful number, since it uses less digits than its factorization.

34315485504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670463 (or 1670453 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 34315485504 in words is "thirty-four billion, three hundred fifteen million, four hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 856 1284 1712 2568 3424 5136 6848 10272 20544 1670341 3340682 5011023 6681364 10022046 13362728 20044092 26725456 40088184 53450912 80176368 106901824 160352736 178726487 320705472 357452974 536179461 714905948 1072358922 1429811896 2144717844 2859623792 4289435688 5719247584 8578871376 11438495168 17157742752 34315485504