Search a number
-
+
314126648 = 2311329501
BaseRepresentation
bin10010101110010…
…011000100111000
3210220002021202022
4102232103010320
51120404023043
651100454012
710533014063
oct2256230470
9726067668
10314126648
11151353000
128924a308
1350105a74
142da0d8da
151c89e868
hex12b93138

314126648 has 32 divisors (see below), whose sum is σ = 647863920. Its totient is φ = 142780000.

The previous prime is 314126623. The next prime is 314126651. The reversal of 314126648 is 846621413.

It is a super-3 number, since 3×3141266483 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4103 + ... + 25398.

Almost surely, 2314126648 is an apocalyptic number.

It is an amenable number.

314126648 is an abundant number, since it is smaller than the sum of its proper divisors (333737272).

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

314126648 is a wasteful number, since it uses less digits than its factorization.

314126648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29540 (or 29514 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 314126648 is about 17723.6183664623. The cubic root of 314126648 is about 679.7798075994.

The spelling of 314126648 in words is "three hundred fourteen million, one hundred twenty-six thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 2662 5324 10648 29501 59002 118004 236008 324511 649022 1298044 2596088 3569621 7139242 14278484 28556968 39265831 78531662 157063324 314126648