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34951464340 = 22513418339503
BaseRepresentation
bin100000100011010001…
…010000010110010100
310100012211100100112021
4200203101100112110
51033040033324330
624020111102524
72345062354642
oct404321202624
9110184310467
1034951464340
1113906210521
126935211a44
1333b015bc60
141997cb4192
15d9869467a
hex823450594

34951464340 has 96 divisors (see below), whose sum is σ = 81949625856. Its totient is φ = 12438389760.

The previous prime is 34951464311. The next prime is 34951464377. The reversal of 34951464340 is 4346415943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865029 + ... + 904531.

It is an arithmetic number, because the mean of its divisors is an integer number (853641936).

Almost surely, 234951464340 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 34951464340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40974812928).

34951464340 is an abundant number, since it is smaller than the sum of its proper divisors (46998161516).

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

34951464340 is a wasteful number, since it uses less digits than its factorization.

34951464340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39649 (or 39647 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 34951464340 in words is "thirty-four billion, nine hundred fifty-one million, four hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 83 130 164 166 205 260 332 410 415 533 820 830 1066 1079 1660 2132 2158 2665 3403 4316 5330 5395 6806 10660 10790 13612 17015 21580 34030 39503 44239 68060 79006 88478 158012 176956 197515 221195 395030 442390 513539 790060 884780 1027078 1619623 2054156 2567695 3239246 3278749 5135390 6478492 6557498 8098115 10270780 13114996 16196230 16393745 21055099 32392460 32787490 42110198 42623737 65574980 84220396 85247474 105275495 134428709 170494948 210550990 213118685 268857418 421101980 426237370 537714836 672143545 852474740 1344287090 1747573217 2688574180 3495146434 6990292868 8737866085 17475732170 34951464340