Search a number
-
+
631332 = 2232131971
BaseRepresentation
bin10011010001000100100
31012002000200
42122020210
5130200312
621310500
75236422
oct2321044
91162020
10631332
113a1369
12265430
13191490
14126112
15c70dc
hex9a224

631332 has 72 divisors (see below), whose sum is σ = 1834560. Its totient is φ = 181440.

The previous prime is 631307. The next prime is 631339. The reversal of 631332 is 233136.

Adding to 631332 its reverse (233136), we get a palindrome (864468).

It is a happy number.

631332 is a `hidden beast` number, since 631 + 3 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

Its product of digits (324) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (631339) by changing a digit.

631332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8857 + ... + 8927.

It is an arithmetic number, because the mean of its divisors is an integer number (25480).

2631332 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 631332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917280).

631332 is an abundant number, since it is smaller than the sum of its proper divisors (1203228).

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

631332 is a wasteful number, since it uses less digits than its factorization.

631332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 108 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 631332 is about 794.5640314034. The cubic root of 631332 is about 85.7865628459.

The spelling of 631332 in words is "six hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 71 76 78 114 117 142 156 171 213 228 234 247 284 342 426 468 494 639 684 741 852 923 988 1278 1349 1482 1846 2223 2556 2698 2769 2964 3692 4047 4446 5396 5538 8094 8307 8892 11076 12141 16188 16614 17537 24282 33228 35074 48564 52611 70148 105222 157833 210444 315666 631332