Search a number
-
+
468322344 = 23337309737
BaseRepresentation
bin11011111010100…
…000100000101000
31012122020020111000
4123322200200220
51424342303334
6114245435000
714414450160
oct3372404050
91178206430
10468322344
112203a0566
12110a0ba60
1376043619
14462ab5a0
152b1ac299
hex1bea0828

468322344 has 64 divisors (see below), whose sum is σ = 1486742400. Its totient is φ = 133805952.

The previous prime is 468322339. The next prime is 468322369. The reversal of 468322344 is 443223864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 468322299 and 468322308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153357 + ... + 156380.

It is an arithmetic number, because the mean of its divisors is an integer number (23230350).

Almost surely, 2468322344 is an apocalyptic number.

It is an amenable number.

468322344 is an abundant number, since it is smaller than the sum of its proper divisors (1018420056).

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

468322344 is a wasteful number, since it uses less digits than its factorization.

468322344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309759 (or 309749 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 468322344 is about 21640.7565486976. The cubic root of 468322344 is about 776.5718187658.

The spelling of 468322344 in words is "four hundred sixty-eight million, three hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 309737 619474 929211 1238948 1858422 2168159 2477896 2787633 3716844 4336318 5575266 6504477 7433688 8362899 8672636 11150532 13008954 16725798 17345272 19513431 22301064 26017908 33451596 39026862 52035816 58540293 66903192 78053724 117080586 156107448 234161172 468322344