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34351006712 = 23114175712577
BaseRepresentation
bin11111111111011110…
…101100001111111000
310021122222110221111212
4133333132230033320
51030322324203322
623440341142252
72324151511421
oct377736541770
9107588427455
1034351006712
111362827a850
1267a80ba988
133315932c99
14193c24c648
15d60ad60e2
hex7ff7ac3f8

34351006712 has 64 divisors (see below), whose sum is σ = 72077977440. Its totient is φ = 15211929600.

The previous prime is 34351006673. The next prime is 34351006817. The reversal of 34351006712 is 21760015343.

It is a congruent number.

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, 2724968 + ... + 2737544.

Almost surely, 234351006712 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 34351006712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36038988720).

34351006712 is an abundant number, since it is smaller than the sum of its proper divisors (37726970728).

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

34351006712 is a wasteful number, since it uses less digits than its factorization.

34351006712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13392 (or 13388 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 34351006712 in words is "thirty-four billion, three hundred fifty-one million, six thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 757 902 1514 1804 3028 3608 6056 8327 12577 16654 25154 31037 33308 50308 62074 66616 100616 124148 138347 248296 276694 341407 515657 553388 682814 1031314 1106776 1365628 2062628 2731256 4125256 5672227 9520789 11344454 19041578 22688908 38083156 45377816 76166312 104728679 209457358 390352349 418914716 780704698 837829432 1561409396 3122818792 4293875839 8587751678 17175503356 34351006712