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351140868 = 2232131734337
BaseRepresentation
bin10100111011011…
…111110000000100
3220110201210201100
4110323133300010
51204343001433
654502100100
711462435211
oct2473376004
9813653640
10351140868
11170234371
129971a630
1357995580
14348c6b08
1520c61b13
hex14edfc04

351140868 has 72 divisors (see below), whose sum is σ = 961630488. Its totient is φ = 107394048.

The previous prime is 351140837. The next prime is 351140891. The reversal of 351140868 is 868041153.

It can be written as a sum of positive squares in 4 ways, for example, as 3392964 + 347747904 = 1842^2 + 18648^2 .

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

It is a congruent number.

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, 78796 + ... + 83132.

It is an arithmetic number, because the mean of its divisors is an integer number (13355979).

Almost surely, 2351140868 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 351140868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480815244).

351140868 is an abundant number, since it is smaller than the sum of its proper divisors (610489620).

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

351140868 is a wasteful number, since it uses less digits than its factorization.

351140868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 351140868 is about 18738.7531068639. The cubic root of 351140868 is about 705.4947605936.

The spelling of 351140868 in words is "three hundred fifty-one million, one hundred forty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 234 346 468 519 692 1038 1557 2076 2249 3114 4337 4498 6228 6747 8674 8996 13011 13494 17348 20241 26022 26988 39033 40482 52044 56381 78066 80964 112762 156132 169143 225524 338286 507429 676572 750301 1014858 1500602 2029716 2250903 3001204 4501806 6752709 9003612 9753913 13505418 19507826 27010836 29261739 39015652 58523478 87785217 117046956 175570434 351140868