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34107839478 = 234503641653
BaseRepresentation
bin11111110000111111…
…000101001111110110
310021001000220202210000
4133300333011033312
51024323101330403
623400253212130
72315136565146
oct376077051766
9107030822700
1034107839478
1113512a93699
12673a791046
1332a744364b
141917c30926
15d495a17a3
hex7f0fc53f6

34107839478 has 80 divisors (see below), whose sum is σ = 76815690336. Its totient is φ = 11311626240.

The previous prime is 34107839471. The next prime is 34107839543. The reversal of 34107839478 is 87493870143.

34107839478 is a `hidden beast` number, since 3 + 410 + 78 + 3 + 94 + 78 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34107839471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52232200 + ... + 52232852.

Almost surely, 234107839478 is an apocalyptic number.

34107839478 is an abundant number, since it is smaller than the sum of its proper divisors (42707850858).

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

34107839478 is a wasteful number, since it uses less digits than its factorization.

34107839478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 34107839478 in words is "thirty-four billion, one hundred seven million, eight hundred thirty-nine thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 503 641 653 1006 1282 1306 1509 1923 1959 3018 3846 3918 4527 5769 5877 9054 11538 11754 13581 17307 17631 27162 34614 35262 40743 51921 52893 81486 103842 105786 322423 328459 418573 644846 656918 837146 967269 985377 1255719 1934538 1970754 2511438 2901807 2956131 3767157 5803614 5912262 7534314 8705421 8868393 11301471 17410842 17736786 22602942 26116263 26605179 33904413 52232526 53210358 67808826 210542219 421084438 631626657 1263253314 1894879971 3789759942 5684639913 11369279826 17053919739 34107839478