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34044 = 2232837
BaseRepresentation
bin1000010011111100
31201200220
420103330
52042134
6421340
7201153
oct102374
951626
1034044
112363a
1217850
131265a
14c59a
15a149
hex84fc

34044 has 12 divisors (see below), whose sum is σ = 79464. Its totient is φ = 11344.

The previous prime is 34039. The next prime is 34057. The reversal of 34044 is 44043.

34044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

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 34044.

It is an unprimeable number.

34044 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 3 ways as a sum of consecutive naturals, for example, 1407 + ... + 1430.

It is an arithmetic number, because the mean of its divisors is an integer number (6622).

234044 is an apocalyptic number.

It is an amenable number.

34044 is an abundant number, since it is smaller than the sum of its proper divisors (45420).

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 (39732).

34044 is a wasteful number, since it uses less digits than its factorization.

34044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 34044 is about 184.5101623218. The cubic root of 34044 is about 32.4100867848.

Adding to 34044 its reverse (44043), we get a palindrome (78087).

Subtracting 34044 from its reverse (44043), we obtain a palindrome (9999).

The spelling of 34044 in words is "thirty-four thousand, forty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 12 2837 5674 8511 11348 17022 34044