Search a number
-
+
332304 = 24372343
BaseRepresentation
bin1010001001000010000
3121212211120
41101020100
541113204
611042240
72552550
oct1211020
9555746
10332304
11207735
12140380
13b833b
1489160
15686d9
hex51210

332304 has 80 divisors (see below), whose sum is σ = 1047552. Its totient is φ = 88704.

The previous prime is 332303. The next prime is 332309. The reversal of 332304 is 403233.

It is a super-2 number, since 2×3323042 = 220851896832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7707 + ... + 7749.

2332304 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 332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523776).

332304 is an abundant number, since it is smaller than the sum of its proper divisors (715248).

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

332304 is a wasteful number, since it uses less digits than its factorization.

332304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 332304 is about 576.4581511263. The cubic root of 332304 is about 69.2646838581.

Adding to 332304 its product of nonzero digits (216), we get a triangular number (332520 = T815).

Adding to 332304 its reverse (403233), we get a palindrome (735537).

It can be divided in two parts, 332 and 304, that added together give a palindrome (636).

The spelling of 332304 in words is "three hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 43 46 48 56 69 84 86 92 112 129 138 161 168 172 184 258 276 301 322 336 344 368 483 516 552 602 644 688 903 966 989 1032 1104 1204 1288 1806 1932 1978 2064 2408 2576 2967 3612 3864 3956 4816 5934 6923 7224 7728 7912 11868 13846 14448 15824 20769 23736 27692 41538 47472 55384 83076 110768 166152 332304