30384 has 30 divisors (see below), whose sum is σ = 85436. Its totient is φ = 10080.

The previous prime is 30367. The next prime is 30389. The reversal of 30384 is 48303.

30384 is nontrivially palindromic in base 15.

30384 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30389) by changing a digit.

30384 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 5 ways as a sum of consecutive naturals, for example, 39 + ... + 249.

2³⁰³⁸⁴ 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 30384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42718).

30384 is an abundant number, since it is smaller than the sum of its proper divisors (55052).

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

30384 is a wasteful number, since it uses less digits than its factorization.

30384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30384 is about 174.3100685560. The cubic root of 30384 is about 31.2043386471.

Adding to 30384 its reverse (48303), we get a palindrome (78687).

It can be divided in two parts, 303 and 84, that multiplied together give a palindrome (25452).

The spelling of 30384 in words is "thirty thousand, three hundred eighty-four".