Search a number
-
+
313860864 = 2833113183
BaseRepresentation
bin10010101101010…
…010001100000000
3210212120210011110
4102231102030000
51120322021424
651051043320
710530526152
oct2255221400
9725523143
10313860864
11151191349
1289140540
1350041ab5
142d980ad2
151c84ac29
hex12b52300

313860864 has 72 divisors (see below), whose sum is σ = 862339072. Its totient is φ = 101237760.

The previous prime is 313860857. The next prime is 313860887. The reversal of 313860864 is 468068313.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17217 + ... + 30399.

Almost surely, 2313860864 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 313860864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431169536).

313860864 is an abundant number, since it is smaller than the sum of its proper divisors (548478208).

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

313860864 is a wasteful number, since it uses less digits than its factorization.

313860864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13233 (or 13219 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 313860864 is about 17716.1187623023. The cubic root of 313860864 is about 679.5880318957.

The spelling of 313860864 in words is "three hundred thirteen million, eight hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 13183 23808 26366 39549 52732 79098 105464 158196 210928 316392 408673 421856 632784 817346 843712 1226019 1265568 1634692 1687424 2452038 2531136 3269384 3374848 4904076 5062272 6538768 9808152 10124544 13077536 19616304 26155072 39232608 52310144 78465216 104620288 156930432 313860864