Search a number
-
+
312224304 = 2437929239
BaseRepresentation
bin10010100111000…
…010101000110000
3210202111122020010
4102213002220300
51114412134204
650552014520
710510601640
oct2247025060
9722448203
10312224304
11150273817
1288691440
134c8bac12
142d676520
151c625d89
hex129c2a30

312224304 has 40 divisors (see below), whose sum is σ = 921806080. Its totient is φ = 89206848.

The previous prime is 312224303. The next prime is 312224309. The reversal of 312224304 is 403422213.

312224304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (312224303) 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 7 ways as a sum of consecutive naturals, for example, 464284 + ... + 464955.

It is an arithmetic number, because the mean of its divisors is an integer number (23045152).

Almost surely, 2312224304 is an apocalyptic number.

It is an amenable number.

312224304 is an abundant number, since it is smaller than the sum of its proper divisors (609581776).

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

312224304 is a wasteful number, since it uses less digits than its factorization.

312224304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929257 (or 929251 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 312224304 is about 17669.8699485876. The cubic root of 312224304 is about 678.4047843461.

Adding to 312224304 its reverse (403422213), we get a palindrome (715646517).

The spelling of 312224304 in words is "three hundred twelve million, two hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 929239 1858478 2787717 3716956 5575434 6504673 7433912 11150868 13009346 14867824 19514019 22301736 26018692 39028038 44603472 52037384 78056076 104074768 156112152 312224304