Search a number
-
+
34305479928 = 2332941506339
BaseRepresentation
bin11111111100110001…
…000001010011111000
310021112210210221111200
4133330301001103320
51030224200324203
623432033254200
72323056524316
oct377461012370
9107483727450
1034305479928
1113604604905
126794a04360
133309382965
14193619b0b6
15d5bae19a3
hex7fcc414f8

34305479928 has 48 divisors (see below), whose sum is σ = 93009594600. Its totient is φ = 11422985280.

The previous prime is 34305479909. The next prime is 34305479933. The reversal of 34305479928 is 82997450343.

34305479928 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 547 + 9 + 92 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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, 185418 + ... + 320921.

Almost surely, 234305479928 is an apocalyptic number.

It is an amenable number.

34305479928 is an abundant number, since it is smaller than the sum of its proper divisors (58704114672).

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

34305479928 is a wasteful number, since it uses less digits than its factorization.

34305479928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507292 (or 507285 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 34305479928 in words is "thirty-four billion, three hundred five million, four hundred seventy-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 941 1882 2823 3764 5646 7528 8469 11292 16938 22584 33876 67752 506339 1012678 1519017 2025356 3038034 4050712 4557051 6076068 9114102 12152136 18228204 36456408 476464999 952929998 1429394997 1905859996 2858789994 3811719992 4288184991 5717579988 8576369982 11435159976 17152739964 34305479928