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2312 = 23172
BaseRepresentation
bin100100001000
310011122
4210020
533222
614412
76512
oct4410
93148
102312
111812
121408
13108b
14bb2
15a42
hex908

2312 has 12 divisors (see below), whose sum is σ = 4605. Its totient is φ = 1088.

The previous prime is 2311. The next prime is 2333. The reversal of 2312 is 2132.

Adding to 2312 its reverse (2132), we get a palindrome (4444).

It can be divided in two parts, 23 and 12, that multiplied together give a triangular number (276 = T23).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2116 + 196 = 46^2 + 14^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=34.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a Duffinian number.

It is a nialpdrome in base 5, base 8, base 14 and base 15.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 2312.

It is not an unprimeable number, because it can be changed into a prime (2311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 128 + ... + 144.

It is an amenable number.

2312 is a deficient number, since it is larger than the sum of its proper divisors (2293).

2312 is a wasteful number, since it uses less digits than its factorization.

2312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 19 counting only the distinct ones).

The product of its digits is 12, while the sum is 8.

The square root of 2312 is about 48.0832611207. The cubic root of 2312 is about 13.2229780369. Note that the first 3 decimals are identical.

The spelling of 2312 in words is "two thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 17 34 68 136 289 578 1156 2312