Search a number
-
+
313626068 = 227223292399
BaseRepresentation
bin10010101100011…
…000110111010100
3210212010212002022
4102230120313110
51120242013233
651042032312
710525530500
oct2254306724
9725125068
10313626068
111510409a8
1289048698
134cc8bc72
142d91d300
151c801398
hex12b18dd4

313626068 has 72 divisors (see below), whose sum is σ = 689472000. Its totient is φ = 124082112.

The previous prime is 313626043. The next prime is 313626083. The reversal of 313626068 is 860626313.

It is a super-2 number, since 2×3136260682 = 196722621058281248, which contains 22 as substring.

It is a congruent number.

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, 129533 + ... + 131931.

It is an arithmetic number, because the mean of its divisors is an integer number (9576000).

Almost surely, 2313626068 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 313626068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736000).

313626068 is an abundant number, since it is smaller than the sum of its proper divisors (375845932).

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

313626068 is a wasteful number, since it uses less digits than its factorization.

313626068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 313626068 is about 17709.4909017735. The cubic root of 313626068 is about 679.4185254085.

The spelling of 313626068 in words is "three hundred thirteen million, six hundred twenty-six thousand, sixty-eight".

Divisors: 1 2 4 7 14 23 28 29 46 49 58 92 98 116 161 196 203 322 406 644 667 812 1127 1334 1421 2254 2399 2668 2842 4508 4669 4798 5684 9338 9596 16793 18676 32683 33586 55177 65366 67172 69571 110354 117551 130732 139142 220708 235102 278284 386239 470204 486997 772478 973994 1544956 1600133 1947988 2703673 3200266 3408979 5407346 6400532 6817958 10814692 11200931 13635916 22401862 44803724 78406517 156813034 313626068