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3434825960 = 235229374981
BaseRepresentation
bin1100110010111011…
…0100100011101000
322212101020020102022
43030232310203220
524013303412320
61324500124012
7151055352566
oct31456644350
98771206368
103434825960
111502962645
127ba396608
134297ca5c7
14248274a36
15151836325
hexccbb48e8

3434825960 has 32 divisors (see below), whose sum is σ = 7762127400. Its totient is φ = 1367927040.

The previous prime is 3434825923. The next prime is 3434825981. The reversal of 3434825960 is 695284343.

3434825960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3254246116 + 180579844 = 57046^2 + 13438^2 .

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, 178331 + ... + 196650.

Almost surely, 23434825960 is an apocalyptic number.

It is an amenable number.

3434825960 is an abundant number, since it is smaller than the sum of its proper divisors (4327301440).

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

3434825960 is a wasteful number, since it uses less digits than its factorization.

3434825960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375221 (or 375217 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The square root of 3434825960 is about 58607.3882714458. The cubic root of 3434825960 is about 1508.8112451448.

The spelling of 3434825960 in words is "three billion, four hundred thirty-four million, eight hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 229 458 916 1145 1832 2290 4580 9160 374981 749962 1499924 1874905 2999848 3749810 7499620 14999240 85870649 171741298 343482596 429353245 686965192 858706490 1717412980 3434825960