30352 has 20 divisors (see below), whose sum is σ = 67456. Its totient is φ = 12960.

The previous prime is 30347. The next prime is 30367. The reversal of 30352 is 25303.

It is a nialpdrome in base 8.

It is an unprimeable number.

30352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24 + ... + 247.

2³⁰³⁵² is an apocalyptic number.

It is an amenable number.

30352 is an abundant number, since it is smaller than the sum of its proper divisors (37104).

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 (33728).

30352 is a wasteful number, since it uses less digits than its factorization.

30352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 30352 is about 174.2182539231. The cubic root of 30352 is about 31.1933801428.

Adding to 30352 its reverse (25303), we get a palindrome (55655).

The spelling of 30352 in words is "thirty thousand, three hundred fifty-two".