Search a number
-
+
316118628 = 223274329173
BaseRepresentation
bin10010110101111…
…001011001100100
3211000211111020100
4102311321121210
51121411244003
651211304100
710555651440
oct2265713144
9730744210
10316118628
11152493671
1289a4b030
1350652657
142ddab820
151cb44ba3
hex12d79664

316118628 has 72 divisors (see below), whose sum is σ = 934501568. Its totient is φ = 88216128.

The previous prime is 316118617. The next prime is 316118633. The reversal of 316118628 is 826811613.

316118628 is a `hidden beast` number, since 3 + 16 + 1 + 18 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 316118592 and 316118601.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3751 + ... + 25422.

Almost surely, 2316118628 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 316118628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467250784).

316118628 is an abundant number, since it is smaller than the sum of its proper divisors (618382940).

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

316118628 is a wasteful number, since it uses less digits than its factorization.

316118628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29233 (or 29228 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 316118628 is about 17779.7251947267. The cubic root of 316118628 is about 681.2136831298.

The spelling of 316118628 in words is "three hundred sixteen million, one hundred eighteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 10836 29173 58346 87519 116692 175038 204211 262557 350076 408422 525114 612633 816844 1050228 1225266 1254439 1837899 2450532 2508878 3675798 3763317 5017756 7351596 7526634 8781073 11289951 15053268 17562146 22579902 26343219 35124292 45159804 52686438 79029657 105372876 158059314 316118628