Search a number
-
+
312760868 = 227127281313
BaseRepresentation
bin10010101001000…
…101101000100100
3210210111220020212
4102221011220210
51120031321433
651011314552
710515265160
oct2251055044
9723456225
10312760868
111505aa962
12888aba58
134ca48204
142d775ca0
151c6ced48
hex12a45a24

312760868 has 48 divisors (see below), whose sum is σ = 634712064. Its totient is φ = 132088320.

The previous prime is 312760867. The next prime is 312760871. The reversal of 312760868 is 868067213.

It is a happy number.

It is a super-2 number, since 2×3127608682 = 195638721104226848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312760867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999080 + ... + 999392.

It is an arithmetic number, because the mean of its divisors is an integer number (13223168).

Almost surely, 2312760868 is an apocalyptic number.

It is an amenable number.

312760868 is an abundant number, since it is smaller than the sum of its proper divisors (321951196).

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

312760868 is a wasteful number, since it uses less digits than its factorization.

312760868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 312760868 is about 17685.0464517343. The cubic root of 312760868 is about 678.7931795486.

The spelling of 312760868 in words is "three hundred twelve million, seven hundred sixty thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 127 254 281 313 508 562 626 889 1124 1252 1778 1967 2191 3556 3934 4382 7868 8764 35687 39751 71374 79502 87953 142748 159004 175906 249809 278257 351812 499618 556514 615671 999236 1113028 1231342 2462684 11170031 22340062 44680124 78190217 156380434 312760868