30040 has 16 divisors (see below), whose sum is σ = 67680. Its totient is φ = 12000.

The previous prime is 30029. The next prime is 30047. The reversal of 30040 is 4003.

30040 = T₁₇ + T₁₈ + ... + T₅₆.

30040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

30040 is strictly pandigital in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30047) 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, 336 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (4230).

2³⁰⁰⁴⁰ is an apocalyptic number.

It is an amenable number.

30040 is an abundant number, since it is smaller than the sum of its proper divisors (37640).

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 (33840).

30040 is a wasteful number, since it uses less digits than its factorization.

30040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 30040 is about 173.3205123463. The cubic root of 30040 is about 31.0861288486.

Adding to 30040 its reverse (4003), we get a palindrome (34043).

The spelling of 30040 in words is "thirty thousand, forty", and thus it is an eban number.