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345163774100 = 22525935820637
BaseRepresentation
bin1010000010111010101…
…11010011100010010100
31012222221001112110122012
411001131113103202110
521123343411232400
6422322133323352
733636323446205
oct5013527234224
91188831473565
10345163774100
11123423a52242
1256a8a796558
13267199522b2
14129c54435ac
158ea269cd35
hex505d5d3894

345163774100 has 36 divisors (see below), whose sum is σ = 750268596924. Its totient is φ = 137832660480.

The previous prime is 345163774079. The next prime is 345163774127. The reversal of 345163774100 is 1477361543.

It can be written as a sum of positive squares in 6 ways, for example, as 11618252944 + 333545521156 = 107788^2 + 577534^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2851019 + ... + 2969618.

It is an arithmetic number, because the mean of its divisors is an integer number (20840794359).

Almost surely, 2345163774100 is an apocalyptic number.

It is an amenable number.

345163774100 is an abundant number, since it is smaller than the sum of its proper divisors (405104822824).

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

345163774100 is a wasteful number, since it uses less digits than its factorization.

345163774100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5821244 (or 5821237 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 345163774100 in words is "three hundred forty-five billion, one hundred sixty-three million, seven hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 593 1186 2372 2965 5930 11860 14825 29650 59300 5820637 11641274 23282548 29103185 58206370 116412740 145515925 291031850 582063700 3451637741 6903275482 13806550964 17258188705 34516377410 69032754820 86290943525 172581887050 345163774100