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318699680 = 25513179013
BaseRepresentation
bin10010111111101…
…111100010100000
3211012200121202212
4102333233202200
51123041342210
651342501252
710616621405
oct2277574240
9735617685
10318699680
11153996872
128a894828
13510473c0
14304802ac
151cea4805
hex12fef8a0

318699680 has 96 divisors (see below), whose sum is σ = 858637584. Its totient is φ = 110739456.

The previous prime is 318699679. The next prime is 318699701. The reversal of 318699680 is 86996813.

It can be written as a sum of positive squares in 8 ways, for example, as 116035984 + 202663696 = 10772^2 + 14236^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30854 + ... + 39866.

Almost surely, 2318699680 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 318699680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429318792).

318699680 is an abundant number, since it is smaller than the sum of its proper divisors (539937904).

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

318699680 is a wasteful number, since it uses less digits than its factorization.

318699680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9058 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The square root of 318699680 is about 17852.1617738581. The cubic root of 318699680 is about 683.0626559653.

The spelling of 318699680 in words is "three hundred eighteen million, six hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 680 884 1040 1105 1360 1768 2080 2210 2720 3536 4420 7072 8840 9013 17680 18026 35360 36052 45065 72104 90130 117169 144208 153221 180260 234338 288416 306442 360520 468676 585845 612884 721040 766105 937352 1171690 1225768 1442080 1532210 1874704 1991873 2343380 2451536 3064420 3749408 3983746 4686760 4903072 6128840 7967492 9373520 9959365 12257680 15934984 18747040 19918730 24515360 31869968 39837460 63739936 79674920 159349840 318699680