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34812 = 2232967
BaseRepresentation
bin1000011111111100
31202202100
420133330
52103222
6425100
7203331
oct103774
952670
1034812
1124178
1218190
1312acb
14c988
15a4ac
hex87fc

34812 has 18 divisors (see below), whose sum is σ = 88088. Its totient is φ = 11592.

The previous prime is 34807. The next prime is 34819. The reversal of 34812 is 21843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34812.

It is not an unprimeable number, because it can be changed into a prime (34819) by changing a digit.

34812 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 5 ways as a sum of consecutive naturals, for example, 448 + ... + 519.

234812 is an apocalyptic number.

It is an amenable number.

34812 is an abundant number, since it is smaller than the sum of its proper divisors (53276).

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

34812 is a wasteful number, since it uses less digits than its factorization.

34812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 972 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 34812 is about 186.5797416656. The cubic root of 34812 is about 32.6519902604.

The spelling of 34812 in words is "thirty-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 967 1934 2901 3868 5802 8703 11604 17406 34812