Search a number
-
+
313655364 = 2232113721407
BaseRepresentation
bin10010101100100…
…000000001000100
3210212012100021100
4102230200001010
51120243432424
651042420100
710526012061
oct2254400104
9725170240
10313655364
11151060a10
1289061630
134cc9c3b9
142d929c68
151c809dc9
hex12b20044

313655364 has 72 divisors (see below), whose sum is σ = 888346368. Its totient is φ = 92473920.

The previous prime is 313655357. The next prime is 313655429. The reversal of 313655364 is 463556313.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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, 3949 + ... + 25355.

It is an arithmetic number, because the mean of its divisors is an integer number (12338144).

Almost surely, 2313655364 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 313655364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444173184).

313655364 is an abundant number, since it is smaller than the sum of its proper divisors (574691004).

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

313655364 is a wasteful number, since it uses less digits than its factorization.

313655364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21465 (or 21460 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 313655364 is about 17710.3180095672. The cubic root of 313655364 is about 679.4396797145.

The spelling of 313655364 in words is "three hundred thirteen million, six hundred fifty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 21407 42814 64221 85628 128442 192663 235477 256884 385326 470954 706431 770652 792059 941908 1412862 1584118 2119293 2376177 2825724 3168236 4238586 4752354 7128531 8477172 8712649 9504708 14257062 17425298 26137947 28514124 34850596 52275894 78413841 104551788 156827682 313655364