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34742640636 = 22331129244647
BaseRepresentation
bin100000010110110100…
…101001111111111100
310022200021102000021000
4200112310221333330
51032123104000021
623543251210300
72336645400324
oct402664517774
9108607360230
1034742640636
1113809351150
1268972a6990
133378b05632
141978276284
15d85195b26
hex816d29ffc

34742640636 has 48 divisors (see below), whose sum is σ = 98262017280. Its totient is φ = 10528072560.

The previous prime is 34742640623. The next prime is 34742640637. The reversal of 34742640636 is 63604624743.

34742640636 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 2 + 6 + 4 + 0 + 636 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34742640591 and 34742640600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34742640637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14621136 + ... + 14623511.

It is an arithmetic number, because the mean of its divisors is an integer number (2047125360).

Almost surely, 234742640636 is an apocalyptic number.

34742640636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34742640636 is an abundant number, since it is smaller than the sum of its proper divisors (63519376644).

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

34742640636 is a wasteful number, since it uses less digits than its factorization.

34742640636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29244671 (or 29244663 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 34742640636 in words is "thirty-four billion, seven hundred forty-two million, six hundred forty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 29244647 58489294 87733941 116978588 175467882 263201823 321691117 350935764 526403646 643382234 789605469 965073351 1052807292 1286764468 1579210938 1930146702 2895220053 3158421876 3860293404 5790440106 8685660159 11580880212 17371320318 34742640636