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34774412436 = 223213712295737
BaseRepresentation
bin100000011000101101…
…110110110010010100
310022202111012011222100
4200120231312302110
51032204222144221
623550344202100
72340512425431
oct403055666224
9108674164870
1034774412436
1113825281835
1268a5a69330
13338257ac0a
14197c586b88
15d87d6e926
hex818b76c94

34774412436 has 72 divisors (see below), whose sum is σ = 88631098920. Its totient is φ = 11495494656.

The previous prime is 34774412399. The next prime is 34774412483. The reversal of 34774412436 is 63421447743.

It can be written as a sum of positive squares in 4 ways, for example, as 5944410000 + 28830002436 = 77100^2 + 169794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34774412391 and 34774412400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6058560 + ... + 6064296.

It is an arithmetic number, because the mean of its divisors is an integer number (1230987485).

Almost surely, 234774412436 is an apocalyptic number.

34774412436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34774412436 is an abundant number, since it is smaller than the sum of its proper divisors (53856686484).

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

34774412436 is a wasteful number, since it uses less digits than its factorization.

34774412436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7113 (or 7108 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The spelling of 34774412436 in words is "thirty-four billion, seven hundred seventy-four million, four hundred twelve thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1229 1233 1644 2458 2466 3687 4916 4932 5737 7374 11061 11474 14748 17211 22122 22948 34422 44244 51633 68844 103266 168373 206532 336746 505119 673492 785969 1010238 1515357 1571938 2020476 2357907 3030714 3143876 4715814 6061428 7050773 7073721 9431628 14101546 14147442 21152319 28203092 28294884 42304638 63456957 84609276 126913914 253827828 965955901 1931911802 2897867703 3863823604 5795735406 8693603109 11591470812 17387206218 34774412436