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34489384480 = 255297433057
BaseRepresentation
bin100000000111101110…
…100011111000100000
310022000121212021010101
4200013232203320200
51031113240300410
623502203112144
72330451634225
oct400756437040
9108017767111
1034489384480
11136993a4041
126826512654
1333384c2b15
14195278d94c
15d6cd1bd3a
hex807ba3e20

34489384480 has 48 divisors (see below), whose sum is σ = 84290877720. Its totient is φ = 13320036352.

The previous prime is 34489384469. The next prime is 34489384493. The reversal of 34489384480 is 8448398443.

It can be written as a sum of positive squares in 4 ways, for example, as 21867311376 + 12622073104 = 147876^2 + 112348^2 .

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3711889 + ... + 3721168.

Almost surely, 234489384480 is an apocalyptic number.

It is an amenable number.

34489384480 is an abundant number, since it is smaller than the sum of its proper divisors (49801493240).

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

34489384480 is a wasteful number, since it uses less digits than its factorization.

34489384480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7433101 (or 7433093 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 55.

The spelling of 34489384480 in words is "thirty-four billion, four hundred eighty-nine million, three hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 7433057 14866114 29732228 37165285 59464456 74330570 118928912 148661140 215558653 237857824 297322280 431117306 594644560 862234612 1077793265 1189289120 1724469224 2155586530 3448938448 4311173060 6897876896 8622346120 17244692240 34489384480