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231312 = 2436179
BaseRepresentation
bin111000011110010000
3102202022010
4320132100
524400222
64542520
71652244
oct703620
9382263
10231312
11148874
12b1a40
1381393
1460424
154880c
hex38790

231312 has 40 divisors (see below), whose sum is σ = 615040. Its totient is φ = 74880.

The previous prime is 231299. The next prime is 231317. The reversal of 231312 is 213132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is not an unprimeable number, because it can be changed into a prime (231317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2889 + ... + 2967.

It is an arithmetic number, because the mean of its divisors is an integer number (15376).

2231312 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 231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307520).

231312 is an abundant number, since it is smaller than the sum of its proper divisors (383728).

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

231312 is a wasteful number, since it uses less digits than its factorization.

231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 231312 is about 480.9490617519. The cubic root of 231312 is about 61.3855363159.

Adding to 231312 its reverse (213132), we get a palindrome (444444).

The spelling of 231312 in words is "two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 79 122 158 183 237 244 316 366 474 488 632 732 948 976 1264 1464 1896 2928 3792 4819 9638 14457 19276 28914 38552 57828 77104 115656 231312