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320068656 = 24321727691
BaseRepresentation
bin10011000100111…
…101110000110000
3211022021011122200
4103010331300300
51123414144111
651432103200
710634352525
oct2304756060
9738234580
10320068656
11154741356
128b234b00
135140654b
143071914c
151d175256
hex1313dc30

320068656 has 90 divisors (see below), whose sum is σ = 951661932. Its totient is φ = 100400640.

The previous prime is 320068613. The next prime is 320068703. The reversal of 320068656 is 656860023.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 320068656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37771 + ... + 45461.

Almost surely, 2320068656 is an apocalyptic number.

320068656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320068656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475830966).

320068656 is an abundant number, since it is smaller than the sum of its proper divisors (631593276).

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

320068656 is a wasteful number, since it uses less digits than its factorization.

320068656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 320068656 is about 17890.4627106176. The cubic root of 320068656 is about 684.0392918847.

The spelling of 320068656 in words is "three hundred twenty million, sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3468 4624 5202 6936 7691 10404 13872 15382 20808 23073 30764 41616 46146 61528 69219 92292 123056 130747 138438 184584 261494 276876 369168 392241 522988 553752 784482 1045976 1107504 1176723 1568964 2091952 2222699 2353446 3137928 4445398 4706892 6275856 6668097 8890796 9413784 13336194 17781592 18827568 20004291 26672388 35563184 40008582 53344776 80017164 106689552 160034328 320068656