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668912634 = 2331317232437
BaseRepresentation
bin100111110111101…
…100101111111010
31201121200021122000
4213313230233322
52332220201014
6150213041430
722401443415
oct4767545772
91647607560
10668912634
11313646a65
12168026276
13a87764c0
1464ba4b7c
153dad1509
hex27decbfa

668912634 has 128 divisors (see below), whose sum is σ = 1769402880. Its totient is φ = 185213952.

The previous prime is 668912633. The next prime is 668912659. The reversal of 668912634 is 436219866.

668912634 is a `hidden beast` number, since 6 + 6 + 8 + 9 + 1 + 2 + 634 = 666.

It is a super-2 number, since 2×6689126342 = 894888223849635912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 668912634.

It is not an unprimeable number, because it can be changed into a prime (668912633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273264 + ... + 275700.

It is an arithmetic number, because the mean of its divisors is an integer number (13823460).

Almost surely, 2668912634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668912634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884701440).

668912634 is an abundant number, since it is smaller than the sum of its proper divisors (1100490246).

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

668912634 is a wasteful number, since it uses less digits than its factorization.

668912634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2495 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 668912634 is about 25863.3453752603. The cubic root of 668912634 is about 874.5603817214.

The spelling of 668912634 in words is "six hundred sixty-eight million, nine hundred twelve thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 23 26 27 34 39 46 51 54 69 78 102 117 138 153 207 221 234 299 306 351 391 414 442 459 598 621 663 702 782 897 918 1173 1242 1326 1794 1989 2346 2437 2691 3519 3978 4874 5083 5382 5967 7038 7311 8073 10166 10557 11934 14622 15249 16146 21114 21933 30498 31681 41429 43866 45747 56051 63362 65799 82858 91494 95043 112102 124287 131598 137241 168153 190086 248574 274482 285129 336306 372861 504459 538577 570258 728663 745722 855387 952867 1008918 1077154 1118583 1457326 1513377 1615731 1710774 1905734 2185989 2237166 2858601 3026754 3231462 4371978 4847193 5717202 6557967 8575803 9694386 12387271 13115934 14541579 17151606 19673901 24774542 25727409 29083158 37161813 39347802 51454818 74323626 111485439 222970878 334456317 668912634