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8034 = 2313103
BaseRepresentation
bin1111101100010
3102000120
41331202
5224114
6101110
732265
oct17542
912016
108034
116044
124796
133870
142cdc
1525a9
hex1f62

8034 has 16 divisors (see below), whose sum is σ = 17472. Its totient is φ = 2448.

The previous prime is 8017. The next prime is 8039. The reversal of 8034 is 4308.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8039) by changing a digit.

8034 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 7 ways as a sum of consecutive naturals, for example, 27 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

28034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736).

8034 is an abundant number, since it is smaller than the sum of its proper divisors (9438).

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

8034 is a wasteful number, since it uses less digits than its factorization.

8034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 8034 is about 89.6325833612. The cubic root of 8034 is about 20.0282932889.

The spelling of 8034 in words is "eight thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 78 103 206 309 618 1339 2678 4017 8034