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34636 = 2271237
BaseRepresentation
bin1000011101001100
31202111211
420131030
52102021
6424204
7202660
oct103514
952454
1034636
1124028
1218064
13129c4
14c8a0
15a3e1
hex874c

34636 has 12 divisors (see below), whose sum is σ = 69328. Its totient is φ = 14832.

The previous prime is 34631. The next prime is 34649. The reversal of 34636 is 63643.

34636 is an admirable number.

It is a super-4 number, since 4×346364 = 5756664444636120064, which contains 4444 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34631) by changing a digit.

34636 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 591 + ... + 646.

234636 is an apocalyptic number.

It is an amenable number.

34636 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34664).

34636 is a wasteful number, since it uses less digits than its factorization.

34636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1246 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 34636 is about 186.1074958189. The cubic root of 34636 is about 32.5968707398.

The spelling of 34636 in words is "thirty-four thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 28 1237 2474 4948 8659 17318 34636