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34443234736 = 2441131487823
BaseRepresentation
bin100000000100111110…
…100000110110110000
310021220102000121120121
4200010332200312300
51031014432002421
623453434020024
72326351443661
oct400476406660
9107812017517
1034443234736
1113675343059
126812b77614
13332ba85091
14194a5b9368
15d68c52d41
hex804fa0db0

34443234736 has 80 divisors (see below), whose sum is σ = 69108576768. Its totient is φ = 16618867200.

The previous prime is 34443234719. The next prime is 34443234743. The reversal of 34443234736 is 63743234443.

It is a junction number, because it is equal to n+sod(n) for n = 34443234692 and 34443234701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41850421 + ... + 41851243.

Almost surely, 234443234736 is an apocalyptic number.

It is an amenable number.

34443234736 is an abundant number, since it is smaller than the sum of its proper divisors (34665342032).

34443234736 is a wasteful number, since it uses less digits than its factorization.

34443234736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1484 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 43.

The spelling of 34443234736 in words is "thirty-four billion, four hundred forty-three million, two hundred thirty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 41 82 131 164 262 328 487 524 656 823 974 1048 1646 1948 2096 3292 3896 5371 6584 7792 10742 13168 19967 21484 33743 39934 42968 63797 67486 79868 85936 107813 127594 134972 159736 215626 255188 269944 319472 400801 431252 510376 539888 801602 862504 1020752 1603204 1725008 2615677 3206408 4420333 5231354 6412816 8840666 10462708 16432841 17681332 20925416 32865682 35362664 41850832 52504931 65731364 70725328 105009862 131462728 210019724 262925456 420039448 840078896 2152702171 4305404342 8610808684 17221617368 34443234736