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34478113464 = 2332796061553
BaseRepresentation
bin100000000111000011…
…100100001010111000
310021222211122122012100
4200013003210022320
51031102344112324
623501121343400
72330254062144
oct400703441270
9107884578170
1034478113464
1113692aa5a53
126822797b60
133336077892
141951098224
15d6bd424c9
hex8070e42b8

34478113464 has 48 divisors (see below), whose sum is σ = 94560242400. Its totient is φ = 11347225344.

The previous prime is 34478113459. The next prime is 34478113487. The reversal of 34478113464 is 46431187443.

34478113464 is a `hidden beast` number, since 3 + 4 + 4 + 78 + 113 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3025089 + ... + 3036464.

It is an arithmetic number, because the mean of its divisors is an integer number (1970005050).

Almost surely, 234478113464 is an apocalyptic number.

It is an amenable number.

34478113464 is an abundant number, since it is smaller than the sum of its proper divisors (60082128936).

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

34478113464 is a wasteful number, since it uses less digits than its factorization.

34478113464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6061644 (or 6061637 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 34478113464 in words is "thirty-four billion, four hundred seventy-eight million, one hundred thirteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 6061553 12123106 18184659 24246212 36369318 48492424 54553977 72738636 109107954 145477272 218215908 436431816 478862687 957725374 1436588061 1915450748 2873176122 3830901496 4309764183 5746352244 8619528366 11492704488 17239056732 34478113464