Search a number
-
+
331444032 = 26311931447
BaseRepresentation
bin10011110000010…
…110111101000000
3212002200002201220
4103300112331000
51134322202112
652515555040
711133141063
oct2360267500
9762602656
10331444032
11160100897
1292bbba80
135388a13a
143203a8da
151e17098c
hex13c16f40

331444032 has 56 divisors (see below), whose sum is σ = 878287296. Its totient is φ = 110312448.

The previous prime is 331444031. The next prime is 331444051. The reversal of 331444032 is 230444133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 331443993 and 331444011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331444031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228333 + ... + 229779.

Almost surely, 2331444032 is an apocalyptic number.

331444032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331444032 is an abundant number, since it is smaller than the sum of its proper divisors (546843264).

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

331444032 is a wasteful number, since it uses less digits than its factorization.

331444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 331444032 is about 18205.6044118288. The cubic root of 331444032 is about 692.0488232228.

Adding to 331444032 its reverse (230444133), we get a palindrome (561888165).

The spelling of 331444032 in words is "three hundred thirty-one million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1193 1447 2386 2894 3579 4341 4772 5788 7158 8682 9544 11576 14316 17364 19088 23152 28632 34728 38176 46304 57264 69456 76352 92608 114528 138912 229056 277824 1726271 3452542 5178813 6905084 10357626 13810168 20715252 27620336 41430504 55240672 82861008 110481344 165722016 331444032