Search a number
-
+
314363304 = 233211813697
BaseRepresentation
bin10010101111001…
…100110110101000
3210220112022101100
4102233030312220
51120434111204
651105521400
710535021043
oct2257146650
9726468340
10314363304
111514a4892
1289343260
13501896b8
142da71c5a
151c8e9a39
hex12bccda8

314363304 has 48 divisors (see below), whose sum is σ = 852352020. Its totient is φ = 104670720.

The previous prime is 314363297. The next prime is 314363311. The reversal of 314363304 is 403363413.

314363304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (314363297) and next prime (314363311).

It can be written as a sum of positive squares in 2 ways, for example, as 314352900 + 10404 = 17730^2 + 102^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83184 + ... + 86880.

Almost surely, 2314363304 is an apocalyptic number.

It is an amenable number.

314363304 is an abundant number, since it is smaller than the sum of its proper divisors (537988716).

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

314363304 is a wasteful number, since it uses less digits than its factorization.

314363304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 314363304 is about 17730.2933985876. The cubic root of 314363304 is about 679.9504750552.

The spelling of 314363304 in words is "three hundred fourteen million, three hundred sixty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1181 2362 3543 3697 4724 7086 7394 9448 10629 11091 14172 14788 21258 22182 28344 29576 33273 42516 44364 66546 85032 88728 133092 266184 4366157 8732314 13098471 17464628 26196942 34929256 39295413 52393884 78590826 104787768 157181652 314363304