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234312 = 23313751
BaseRepresentation
bin111001001101001000
3102220102020
4321031020
524444222
65004440
71664061
oct711510
9386366
10234312
11150051
12b3720
1382860
1461568
154965c
hex39348

234312 has 32 divisors (see below), whose sum is σ = 631680. Its totient is φ = 72000.

The previous prime is 234293. The next prime is 234317. The reversal of 234312 is 213432.

234312 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×2343122 = 109804226688, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 234291 and 234300.

It is not an unprimeable number, because it can be changed into a prime (234317) by changing a digit.

234312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 687.

It is an arithmetic number, because the mean of its divisors is an integer number (19740).

2234312 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 234312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315840).

234312 is an abundant number, since it is smaller than the sum of its proper divisors (397368).

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

234312 is a wasteful number, since it uses less digits than its factorization.

234312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 769 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 234312 is about 484.0578477827. The cubic root of 234312 is about 61.6497770482.

Adding to 234312 its reverse (213432), we get a palindrome (447744).

The spelling of 234312 in words is "two hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 751 1502 2253 3004 4506 6008 9012 9763 18024 19526 29289 39052 58578 78104 117156 234312