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34367100048 = 2432238660417
BaseRepresentation
bin100000000000011100…
…000101010010010000
310021201002202120102100
4200000130011102100
51030340434200143
623442114120400
72324435346651
oct400034052220
9107632676370
1034367100048
1113636371a26
1267b1580100
133319079178
14194043b528
15d622146d3
hex800705490

34367100048 has 30 divisors (see below), whose sum is σ = 96180148454. Its totient is φ = 11455699968.

The previous prime is 34367100037. The next prime is 34367100067. The reversal of 34367100048 is 84000176343.

It can be written as a sum of positive squares in only one way, i.e., 33405603984 + 961496064 = 182772^2 + 31008^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 34367099985 and 34367100021.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 119330065 + ... + 119330352.

Almost surely, 234367100048 is an apocalyptic number.

It is an amenable number.

34367100048 is an abundant number, since it is smaller than the sum of its proper divisors (61813048406).

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

34367100048 is a wasteful number, since it uses less digits than its factorization.

34367100048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238660431 (or 238660422 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34367100048 in words is "thirty-four billion, three hundred sixty-seven million, one hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 238660417 477320834 715981251 954641668 1431962502 1909283336 2147943753 2863925004 3818566672 4295887506 5727850008 8591775012 11455700016 17183550024 34367100048