Search a number
-
+
304395968 = 2643110609
BaseRepresentation
bin10010001001001…
…011011011000000
3210012202220202202
4102021023123000
51110411132333
650112132332
710354215542
oct2211133300
9705686682
10304395968
11146907218
1285b370a8
134b0a9976
142c5d9692
151bacb5e8
hex1224b6c0

304395968 has 28 divisors (see below), whose sum is σ = 618088680. Its totient is φ = 148657152.

The previous prime is 304395967. The next prime is 304395997. The reversal of 304395968 is 869593403.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (304395967) 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 3 ways as a sum of consecutive naturals, for example, 52553 + ... + 58056.

Almost surely, 2304395968 is an apocalyptic number.

It is an amenable number.

304395968 is an abundant number, since it is smaller than the sum of its proper divisors (313692712).

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

304395968 is a wasteful number, since it uses less digits than its factorization.

304395968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110664 (or 110654 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The square root of 304395968 is about 17446.9472401334. The cubic root of 304395968 is about 672.6868921287.

The spelling of 304395968 in words is "three hundred four million, three hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 2752 110609 221218 442436 884872 1769744 3539488 4756187 7078976 9512374 19024748 38049496 76098992 152197984 304395968