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34523600064 = 263374859741
BaseRepresentation
bin100000001001110001…
…000101010011000000
310022010000020121002020
4200021301011103000
51031201020200224
623505424321440
72331345521142
oct401161052300
9108100217066
1034523600064
1113706743788
126835a73280
133342612825
141957138c92
15d70d29c79
hex809c454c0

34523600064 has 56 divisors (see below), whose sum is σ = 93812459568. Its totient is φ = 11196840960.

The previous prime is 34523600009. The next prime is 34523600143. The reversal of 34523600064 is 46000632543.

It is a super-2 number, since 2×345236000642 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34523599998 and 34523600034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2422767 + ... + 2436974.

Almost surely, 234523600064 is an apocalyptic number.

It is an amenable number.

34523600064 is an abundant number, since it is smaller than the sum of its proper divisors (59288859504).

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

34523600064 is a wasteful number, since it uses less digits than its factorization.

34523600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859793 (or 4859783 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 34523600064 in words is "thirty-four billion, five hundred twenty-three million, six hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 4859741 9719482 14579223 19438964 29158446 38877928 58316892 77755856 116633784 155511712 179810417 233267568 311023424 359620834 466535136 539431251 719241668 933070272 1078862502 1438483336 2157725004 2876966672 4315450008 5753933344 8630900016 11507866688 17261800032 34523600064