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34104 = 2337229
BaseRepresentation
bin1000010100111000
31201210010
420110320
52042404
6421520
7201300
oct102470
951703
1034104
1123694
12178a0
13126a5
14c600
15a189
hex8538

34104 has 48 divisors (see below), whose sum is σ = 102600. Its totient is φ = 9408.

The previous prime is 34061. The next prime is 34123. The reversal of 34104 is 40143.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 34104.

It is a congruent number.

It is an unprimeable number.

34104 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 11 ways as a sum of consecutive naturals, for example, 1162 + ... + 1190.

234104 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 34104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51300).

34104 is an abundant number, since it is smaller than the sum of its proper divisors (68496).

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

34104 is a wasteful number, since it uses less digits than its factorization.

34104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34104 is about 184.6726834158. The cubic root of 34104 is about 32.4291157269.

Adding to 34104 its reverse (40143), we get a palindrome (74247).

The spelling of 34104 in words is "thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2436 2842 4263 4872 5684 8526 11368 17052 34104