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705043368 = 233261229701
BaseRepresentation
bin101010000001100…
…001101110101000
31211010122220200100
4222001201232220
52420442341433
6153543305400
723320525011
oct5201415650
91733586610
10705043368
11331a84577
1217814b260
13b30b6b33
14698cc008
1541d6bb13
hex2a061ba8

705043368 has 96 divisors (see below), whose sum is σ = 1952051400. Its totient is φ = 229824000.

The previous prime is 705043319. The next prime is 705043387. The reversal of 705043368 is 863340507.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 667808964 + 37234404 = 25842^2 + 6102^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1005418 + ... + 1006118.

Almost surely, 2705043368 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 705043368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976025700).

705043368 is an abundant number, since it is smaller than the sum of its proper divisors (1247008032).

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

705043368 is a wasteful number, since it uses less digits than its factorization.

705043368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 705043368 is about 26552.6527488310. The cubic root of 705043368 is about 890.0312946114.

The spelling of 705043368 in words is "seven hundred five million, forty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 229 244 366 458 488 549 687 701 732 916 1098 1374 1402 1464 1832 2061 2103 2196 2748 2804 4122 4206 4392 5496 5608 6309 8244 8412 12618 13969 16488 16824 25236 27938 41907 42761 50472 55876 83814 85522 111752 125721 128283 160529 167628 171044 251442 256566 321058 335256 342088 384849 481587 502884 513132 642116 769698 963174 1005768 1026264 1284232 1444761 1539396 1926348 2889522 3078792 3852696 5779044 9792269 11558088 19584538 29376807 39169076 58753614 78338152 88130421 117507228 176260842 235014456 352521684 705043368