30013440 has 96 divisors (see below), whose sum is σ = 96117840. Its totient is φ = 7995392.

The previous prime is 30013433. The next prime is 30013447. The reversal of 30013440 is 4431003.

It is an interprime number because it is at equal distance from previous prime (30013433) and next prime (30013447).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30013447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30232 + ... + 31208.

Almost surely, 2^30013440 is an apocalyptic number.

30013440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48058920).

30013440 is an abundant number, since it is smaller than the sum of its proper divisors (66104400).

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

30013440 is an equidigital number, since it uses as much as digits as its factorization.

30013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30013440 is about 5478.4523361986. The cubic root of 30013440 is about 310.7696450066.

Adding to 30013440 its reverse (4431003), we get a palindrome (34444443).

It can be divided in two parts, 3001 and 3440, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 30013440 in words is "thirty million, thirteen thousand, four hundred forty".