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34376720431 = 712234574751
BaseRepresentation
bin100000000001000000…
…110010000000101111
310021201202212100002211
4200001000302000233
51030400420023211
623443100231251
72324613205504
oct400100620057
9107652770084
1034376720431
1113640842959
1267b483b527
13331b066cc1
1419418234ab
15d62eb4e21
hex80103202f

34376720431 has 16 divisors (see below), whose sum is σ = 35101237248. Its totient is φ = 33659640000.

The previous prime is 34376720377. The next prime is 34376720449. The reversal of 34376720431 is 13402767343.

It is a cyclic number.

It is not a de Polignac number, because 34376720431 - 27 = 34376720303 is a prime.

It is a super-2 number, since 2×343767204312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34374720431) 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, 7233306 + ... + 7238056.

It is an arithmetic number, because the mean of its divisors is an integer number (2193827328).

Almost surely, 234376720431 is an apocalyptic number.

34376720431 is a deficient number, since it is larger than the sum of its proper divisors (724516817).

34376720431 is a wasteful number, since it uses less digits than its factorization.

34376720431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502.

The product of its (nonzero) digits is 254016, while the sum is 40.

The spelling of 34376720431 in words is "thirty-four billion, three hundred seventy-six million, seven hundred twenty thousand, four hundred thirty-one".

Divisors: 1 71 223 457 4751 15833 32447 101911 337321 1059473 2171207 7235681 75222583 154155697 484179161 34376720431