Search a number
-
+
34311533508 = 22327136156879
BaseRepresentation
bin11111111101001000…
…000111001111000100
310021120020012111110100
4133331020013033010
51030232223033013
623432411124100
72323162136250
oct377510071704
9107506174410
1034311533508
1113607a69a6a
126796a43630
13330a6c2165
141936cd5260
15d5c3da473
hex7fd2073c4

34311533508 has 36 divisors (see below), whose sum is σ = 99122208640. Its totient is φ = 9803295216.

The previous prime is 34311533471. The next prime is 34311533617. The reversal of 34311533508 is 80533511343.

34311533508 is a `hidden beast` number, since 3 + 4 + 3 + 115 + 33 + 508 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 68078188 + ... + 68078691.

Almost surely, 234311533508 is an apocalyptic number.

It is an amenable number.

34311533508 is an abundant number, since it is smaller than the sum of its proper divisors (64810675132).

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

34311533508 is a wasteful number, since it uses less digits than its factorization.

34311533508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136156896 (or 136156891 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 34311533508 in words is "thirty-four billion, three hundred eleven million, five hundred thirty-three thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 136156879 272313758 408470637 544627516 816941274 953098153 1225411911 1633882548 1906196306 2450823822 2859294459 3812392612 4901647644 5718588918 8577883377 11437177836 17155766754 34311533508