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34312 = 234289
BaseRepresentation
bin1000011000001000
31202001211
420120020
52044222
6422504
7202015
oct103010
952054
1034312
1123863
1217a34
1312805
14c70c
15a277
hex8608

34312 has 8 divisors (see below), whose sum is σ = 64350. Its totient is φ = 17152.

The previous prime is 34303. The next prime is 34313. The reversal of 34312 is 21343.

It can be written as a sum of positive squares in only one way, i.e., 21316 + 12996 = 146^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 34292 and 34301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34313) by changing a digit.

34312 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 as a sum of consecutive naturals, namely, 2137 + ... + 2152.

234312 is an apocalyptic number.

It is an amenable number.

34312 is a deficient number, since it is larger than the sum of its proper divisors (30038).

34312 is a wasteful number, since it uses less digits than its factorization.

34312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4291 counting only the distinct ones).

The product of its digits is 72, while the sum is 13.

The square root of 34312 is about 185.2349858963. The cubic root of 34312 is about 32.4949104456.

Adding to 34312 its reverse (21343), we get a palindrome (55655).

The spelling of 34312 in words is "thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 4289 8578 17156 34312