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23034 = 2311349
BaseRepresentation
bin101100111111010
31011121010
411213322
51214114
6254350
7124104
oct54772
934533
1023034
1116340
12113b6
13a63b
148574
156c59
hex59fa

23034 has 16 divisors (see below), whose sum is σ = 50400. Its totient is φ = 6960.

The previous prime is 23029. The next prime is 23039. The reversal of 23034 is 43032.

Added to its reverse (43032) it gives a triangular number (66066 = T363).

23034 = T67 + T68 + ... + T75.

It is an interprime number because it is at equal distance from previous prime (23029) and next prime (23039).

It is a d-powerful number, because it can be written as 23 + 34 + 0 + 38 + 47 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (23039) by changing a digit.

23034 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, 109 + ... + 240.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

223034 is an apocalyptic number.

23034 is an abundant number, since it is smaller than the sum of its proper divisors (27366).

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 (25200).

23034 is a wasteful number, since it uses less digits than its factorization.

23034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365.

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 23034 is about 151.7695621658. The cubic root of 23034 is about 28.4526761567.

Adding to 23034 its reverse (43032), we get a palindrome (66066).

The spelling of 23034 in words is "twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 349 698 1047 2094 3839 7678 11517 23034