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34457614312 = 23112192381457
BaseRepresentation
bin100000000101110101…
…010111011111101000
310021221102002011122111
4200011311113133220
51031032122124222
623455110132104
72326614613642
oct400565273750
9107842064574
1034457614312
1113682474700
126817951034
133331a4b1c4
14194c47d892
15d6a143777
hex805d577e8

34457614312 has 96 divisors (see below), whose sum is σ = 78004180800. Its totient is φ = 14192893440.

The previous prime is 34457614309. The next prime is 34457614327. The reversal of 34457614312 is 21341675443.

34457614312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 382288 + ... + 463744.

It is an arithmetic number, because the mean of its divisors is an integer number (812543550).

Almost surely, 234457614312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34457614312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39002090400).

34457614312 is an abundant number, since it is smaller than the sum of its proper divisors (43546566488).

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

34457614312 is a wasteful number, since it uses less digits than its factorization.

34457614312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81527 (or 81512 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The spelling of 34457614312 in words is "thirty-four billion, four hundred fifty-seven million, six hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 121 152 184 209 242 253 418 437 484 506 836 874 968 1012 1672 1748 2024 2299 2783 3496 4598 4807 5566 9196 9614 11132 18392 19228 22264 38456 52877 81457 105754 162914 211508 325828 423016 651656 896027 1547683 1792054 1873511 3095366 3584108 3747022 6190732 7168216 7494044 9856297 12381464 14988088 17024513 19712594 20608621 34049026 35596709 39425188 41217242 68098052 71193418 78850376 82434484 136196104 142386836 164868968 187269643 226694831 284773672 374539286 391563799 453389662 749078572 783127598 906779324 1498157144 1566255196 1813558648 3132510392 4307201789 8614403578 17228807156 34457614312