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318000306 = 2313109113331
BaseRepresentation
bin10010111101000…
…100110010110010
3211011101002102010
4102331010302302
51122402002211
651315503350
710610646411
oct2275046262
9734332363
10318000306
11153559378
128a5b7b56
1350b60c80
143033b478
151cdb74a6
hex12f44cb2

318000306 has 64 divisors (see below), whose sum is σ = 699431040. Its totient is φ = 95800320.

The previous prime is 318000289. The next prime is 318000313. The reversal of 318000306 is 603000813.

It is a super-2 number, since 2×3180003062 = 202248389232187272, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960561 + ... + 960891.

It is an arithmetic number, because the mean of its divisors is an integer number (10928610).

Almost surely, 2318000306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318000306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349715520).

318000306 is an abundant number, since it is smaller than the sum of its proper divisors (381430734).

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

318000306 is a wasteful number, since it uses less digits than its factorization.

318000306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 318000306 is about 17832.5630799389. The cubic root of 318000306 is about 682.5626385908.

The spelling of 318000306 in words is "three hundred eighteen million, three hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 78 109 113 218 226 327 331 339 654 662 678 993 1417 1469 1986 2834 2938 4251 4303 4407 8502 8606 8814 12317 12909 24634 25818 36079 36951 37403 72158 73902 74806 108237 112209 160121 216474 224418 320242 469027 480363 486239 938054 960726 972478 1407081 1458717 2814162 2917434 4076927 8153854 12230781 24461562 53000051 106000102 159000153 318000306