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34690944568 = 2373182324281
BaseRepresentation
bin100000010011101111…
…011100111000111000
310022112200010120120211
4200103233130320320
51032021340211233
623534203200504
72335450110040
oct402357347070
9108480116524
1034690944568
1113792152125
126881b16134
13336b1a5247
14197145a720
15d808835cd
hex813bdce38

34690944568 has 64 divisors (see below), whose sum is σ = 76832133120. Its totient is φ = 14369875200.

The previous prime is 34690944557. The next prime is 34690944571. The reversal of 34690944568 is 86544909643.

34690944568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1416588 + ... + 1440868.

It is an arithmetic number, because the mean of its divisors is an integer number (1200502080).

Almost surely, 234690944568 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 34690944568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38416066560).

34690944568 is an abundant number, since it is smaller than the sum of its proper divisors (42141188552).

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

34690944568 is a wasteful number, since it uses less digits than its factorization.

34690944568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25148 (or 25144 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 58.

The spelling of 34690944568 in words is "thirty-four billion, six hundred ninety million, nine hundred forty-four thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 823 868 1646 1736 3292 5761 6584 11522 23044 24281 25513 46088 48562 51026 97124 102052 169967 178591 194248 204104 339934 357182 679868 714364 752711 1359736 1428728 1505422 3010844 5268977 6021688 10537954 19983263 21075908 39966526 42151816 79933052 139882841 159866104 279765682 559531364 619481153 1119062728 1238962306 2477924612 4336368071 4955849224 8672736142 17345472284 34690944568