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34152 = 2331423

34152 has 16 divisors (see below), whose sum is σ = 85440. Its totient is φ = 11376.

The previous prime is 34147. The next prime is 34157. The reversal of 34152 is 25143.

It is an interprime number because it is at equal distance from previous prime (34147) and next prime (34157).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34152.

It is not an unprimeable number, because it can be changed into a prime (34157) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 688 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (5340).

234152 is an apocalyptic number.

It is an amenable number.

34152 is an abundant number, since it is smaller than the sum of its proper divisors (51288).

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 (42720).

34152 is a wasteful number, since it uses less digits than its factorization.

34152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1428 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 34152 is about 184.8025973843. The cubic root of 34152 is about 32.4443228174. Note that the first 3 decimals are identical.

Adding to 34152 its reverse (25143), we get a palindrome (59295).

Subtracting from 34152 its reverse (25143), we obtain a palindrome (9009).

It can be divided in two parts, 341 and 52, that added together give a palindrome (393).

The spelling of 34152 in words is "thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 1423 2846 4269 5692 8538 11384 17076 34152