Search a number
-
+
350218656 = 25323139227
BaseRepresentation
bin10100110111111…
…110100110100000
3220101222221200100
4110313332212200
51204123444111
654430222400
711451544434
oct2467764640
9811887610
10350218656
1116a764507
1299354a00
1357731898
14347269c4
1520b2d756
hex14dfe9a0

350218656 has 72 divisors (see below), whose sum is σ = 1028087424. Its totient is φ = 112970880.

The previous prime is 350218651. The next prime is 350218657. The reversal of 350218656 is 656812053.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 350218656.

It is not an unprimeable number, because it can be changed into a prime (350218651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10686 + ... + 28541.

It is an arithmetic number, because the mean of its divisors is an integer number (14278992).

Almost surely, 2350218656 is an apocalyptic number.

350218656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

350218656 is an abundant number, since it is smaller than the sum of its proper divisors (677868768).

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

350218656 is a wasteful number, since it uses less digits than its factorization.

350218656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39274 (or 39263 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 350218656 is about 18714.1298488602. The cubic root of 350218656 is about 704.8765982896.

The spelling of 350218656 in words is "three hundred fifty million, two hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 39227 78454 117681 156908 235362 313816 353043 470724 627632 706086 941448 1216037 1255264 1412172 1882896 2432074 2824344 3648111 3765792 4864148 5648688 7296222 9728296 10944333 11297376 14592444 19456592 21888666 29184888 38913184 43777332 58369776 87554664 116739552 175109328 350218656