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34043316416 = 262323127253
BaseRepresentation
bin11111101101001000…
…111100100011000000
310020212112111122202222
4133231020330203000
51024210042111131
623350030230212
72313424262234
oct375510744300
9106775448688
1034043316416
111348a62354a
126721055368
133296c71a15
14190d4365c4
15d43aa887b
hex7ed23c8c0

34043316416 has 28 divisors (see below), whose sum is σ = 70491870192. Its totient is φ = 16281585408.

The previous prime is 34043316389. The next prime is 34043316449. The reversal of 34043316416 is 61461334043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11562155 + ... + 11565098.

Almost surely, 234043316416 is an apocalyptic number.

It is an amenable number.

34043316416 is an abundant number, since it is smaller than the sum of its proper divisors (36448553776).

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

34043316416 is a wasteful number, since it uses less digits than its factorization.

34043316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23127288 (or 23127278 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 34043316416 in words is "thirty-four billion, forty-three million, three hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 23127253 46254506 92509012 185018024 370036048 531926819 740072096 1063853638 1480144192 2127707276 4255414552 8510829104 17021658208 34043316416