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34113421296 = 243378966253
BaseRepresentation
bin11111110001010100…
…010111111111110000
310021001102102100121000
4133301110113333300
51024331013440141
623401013002000
72315235203523
oct376124277760
9107042370530
1034113421296
1113516156369
126740623300
1332a86491b6
141918884bba
15d49d055b6
hex7f1517ff0

34113421296 has 40 divisors (see below), whose sum is σ = 97918154960. Its totient is φ = 11371140288.

The previous prime is 34113421271. The next prime is 34113421337. The reversal of 34113421296 is 69212431143.

34113421296 is a `hidden beast` number, since 34 + 113 + 421 + 2 + 96 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34113421296.

It is a congruent number.

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, 39482695 + ... + 39483558.

It is an arithmetic number, because the mean of its divisors is an integer number (2447953874).

Almost surely, 234113421296 is an apocalyptic number.

34113421296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34113421296 is an abundant number, since it is smaller than the sum of its proper divisors (63804733664).

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

34113421296 is a wasteful number, since it uses less digits than its factorization.

34113421296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78966270 (or 78966258 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 34113421296 in words is "thirty-four billion, one hundred thirteen million, four hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 78966253 157932506 236898759 315865012 473797518 631730024 710696277 947595036 1263460048 1421392554 1895190072 2132088831 2842785108 3790380144 4264177662 5685570216 8528355324 11371140432 17056710648 34113421296