34352 has 20 divisors (see below), whose sum is σ = 70680. Its totient is φ = 16128.

The previous prime is 34351. The next prime is 34361. The reversal of 34352 is 25343.

34352 is nontrivially palindromic in base 5.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

34352 is an undulating number in base 15.

It is a plaindrome in base 11.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 34352.

It is not an unprimeable number, because it can be changed into a prime (34351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 248 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (3534).

2³⁴³⁵² 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 34352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35340).

34352 is an abundant number, since it is smaller than the sum of its proper divisors (36328).

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

34352 is a wasteful number, since it uses less digits than its factorization.

34352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its digits is 360, while the sum is 17.

The square root of 34352 is about 185.3429254112. The cubic root of 34352 is about 32.5075327707.

Adding to 34352 its reverse (25343), we get a palindrome (59695).

Subtracting from 34352 its reverse (25343), we obtain a palindrome (9009).

The spelling of 34352 in words is "thirty-four thousand, three hundred fifty-two".