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34134504100 = 2252341345041
BaseRepresentation
bin11111110010100100…
…110011001010100100
310021002220002110202121
4133302210303022210
51024401413112400
623403044515324
72315612332444
oct376244631244
9107086073677
1034134504100
1113527046174
1267476abb44
1332acb1b428
14191b5b2124
15d4babc21a
hex7f29332a4

34134504100 has 18 divisors (see below), whose sum is σ = 74071874114. Its totient is φ = 13653801600.

The previous prime is 34134504097. The next prime is 34134504167. The reversal of 34134504100 is 140543143.

It can be written as a sum of positive squares in 3 ways, for example, as 4586269284 + 29548234816 = 67722^2 + 171896^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 170672421 + ... + 170672620.

Almost surely, 234134504100 is an apocalyptic number.

It is an amenable number.

34134504100 is an abundant number, since it is smaller than the sum of its proper divisors (39937370014).

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

34134504100 is a wasteful number, since it uses less digits than its factorization.

34134504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341345055 (or 341345048 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 34134504100 in words is "thirty-four billion, one hundred thirty-four million, five hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 341345041 682690082 1365380164 1706725205 3413450410 6826900820 8533626025 17067252050 34134504100