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231332304 = 24372923741
BaseRepresentation
bin11011100100111…
…01100111010000
3121010021220021010
431302131213100
5433210113204
634542130520
75506202130
oct1562354720
9533256233
10231332304
11109643425
1265580a40
1338c07828
1422a1aac0
1515497d89
hexdc9d9d0

231332304 has 80 divisors (see below), whose sum is σ = 706561920. Its totient is φ = 63813120.

The previous prime is 231332287. The next prime is 231332329. The reversal of 231332304 is 403233132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2127 + ... + 21614.

It is an arithmetic number, because the mean of its divisors is an integer number (8832024).

Almost surely, 2231332304 is an apocalyptic number.

231332304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353280960).

231332304 is an abundant number, since it is smaller than the sum of its proper divisors (475229616).

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

231332304 is a wasteful number, since it uses less digits than its factorization.

231332304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23788 (or 23782 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 231332304 is about 15209.6122238537. The cubic root of 231332304 is about 613.8733235398.

Adding to 231332304 its reverse (403233132), we get a palindrome (634565436).

The spelling of 231332304 in words is "two hundred thirty-one million, three hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4872 9744 23741 47482 71223 94964 142446 166187 189928 284892 332374 379856 498561 569784 664748 688489 997122 1139568 1329496 1376978 1994244 2065467 2658992 2753956 3988488 4130934 4819423 5507912 7976976 8261868 9638846 11015824 14458269 16523736 19277692 28916538 33047472 38555384 57833076 77110768 115666152 231332304