Search a number
-
+
264466332 = 2232133118229
BaseRepresentation
bin11111100001101…
…10111110011100
3200102122021121100
433300312332130
51020200410312
642124233100
76360632604
oct1760667634
9612567540
10264466332
11126314519
127469b790
1342a39170
14271a3c04
15183405dc
hexfc36f9c

264466332 has 72 divisors (see below), whose sum is σ = 743200640. Its totient is φ = 78744960.

The previous prime is 264466327. The next prime is 264466333. The reversal of 264466332 is 233664462.

264466332 is a `hidden beast` number, since 2 + 644 + 6 + 6 + 3 + 3 + 2 = 666.

264466332 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 (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264466333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5394 + ... + 23622.

Almost surely, 2264466332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264466332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371600320).

264466332 is an abundant number, since it is smaller than the sum of its proper divisors (478734308).

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

264466332 is a wasteful number, since it uses less digits than its factorization.

264466332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18283 (or 18278 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 264466332 is about 16262.4208529973. The cubic root of 264466332 is about 641.8843650004.

The spelling of 264466332 in words is "two hundred sixty-four million, four hundred sixty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 14508 18229 36458 54687 72916 109374 164061 218748 236977 328122 473954 565099 656244 710931 947908 1130198 1421862 1695297 2132793 2260396 2843724 3390594 4265586 5085891 6781188 7346287 8531172 10171782 14692574 20343564 22038861 29385148 44077722 66116583 88155444 132233166 264466332