Search a number
-
+
320118568 = 237211217397
BaseRepresentation
bin10011000101001…
…001111100101000
3211022100201010021
4103011021330220
51123422243233
651433130224
710634651200
oct2305117450
9738321107
10320118568
11154775900
128b259974
1351423193
143072d400
151d184e2d
hex13149f28

320118568 has 144 divisors (see below), whose sum is σ = 814654260. Its totient is φ = 117089280.

The previous prime is 320118553. The next prime is 320118583. The reversal of 320118568 is 865811023.

It is an interprime number because it is at equal distance from previous prime (320118553) and next prime (320118583).

It can be written as a sum of positive squares in 2 ways, for example, as 302829604 + 17288964 = 17402^2 + 4158^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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 35 ways as a sum of consecutive naturals, for example, 806146 + ... + 806542.

Almost surely, 2320118568 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 320118568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407327130).

320118568 is an abundant number, since it is smaller than the sum of its proper divisors (494535692).

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

320118568 is a wasteful number, since it uses less digits than its factorization.

320118568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 320118568 is about 17891.8575894176. The cubic root of 320118568 is about 684.0748467507.

The spelling of 320118568 in words is "three hundred twenty million, one hundred eighteen thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 49 56 68 77 88 98 119 121 136 154 187 196 238 242 308 374 392 397 476 484 539 616 748 794 833 847 952 968 1078 1309 1496 1588 1666 1694 2057 2156 2618 2779 3176 3332 3388 4114 4312 4367 5236 5558 5929 6664 6749 6776 8228 8734 9163 10472 11116 11858 13498 14399 16456 17468 18326 19453 22232 23716 26996 28798 30569 34936 36652 38906 47243 47432 48037 53992 57596 61138 73304 74239 77812 94486 96074 100793 115192 122276 148478 155624 188972 192148 201586 213983 244552 296956 330701 336259 377944 384296 403172 427966 519673 593912 661402 672518 806344 816629 855932 1039346 1322804 1345036 1633258 1711864 2078692 2353813 2645608 2690072 3266516 3637711 4157384 4707626 5716403 6533032 7275422 9415252 11432806 14550844 18830504 22865612 29101688 40014821 45731224 80029642 160059284 320118568