Search a number
-
+
664164324 = 223269126699
BaseRepresentation
bin100111100101100…
…101011111100100
31201021202001011200
4213211211133210
52330011224244
6145523202500
722313206065
oct4745453744
91637661150
10664164324
113109a353a
12166516430
13a77a3155
14642ca56c
153d494669
hex279657e4

664164324 has 36 divisors (see below), whose sum is σ = 1681352400. Its totient is φ = 221059440.

The previous prime is 664164311. The next prime is 664164331. The reversal of 664164324 is 423461466.

664164324 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 643 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×6641643242 = 882228498548753952, which contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11527 + ... + 38225.

Almost surely, 2664164324 is an apocalyptic number.

It is an amenable number.

664164324 is an abundant number, since it is smaller than the sum of its proper divisors (1017188076).

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

664164324 is a wasteful number, since it uses less digits than its factorization.

664164324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27400 (or 27395 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 664164324 is about 25771.3857601798. The cubic root of 664164324 is about 872.4860955138.

The spelling of 664164324 in words is "six hundred sixty-four million, one hundred sixty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 691 1382 2073 2764 4146 6219 8292 12438 24876 26699 53398 80097 106796 160194 240291 320388 480582 961164 18449009 36898018 55347027 73796036 110694054 166041081 221388108 332082162 664164324