30414240 has 72 divisors (see below), whose sum is σ = 103793508. Its totient is φ = 8110080.

The previous prime is 30414233. The next prime is 30414281. The reversal of 30414240 is 4241403.

It can be written as a sum of positive squares in 2 ways, for example, as 30338064 + 76176 = 5508^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9121 + ... + 12000.

Almost surely, 2^30414240 is an apocalyptic number.

30414240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30414240 is an abundant number, since it is smaller than the sum of its proper divisors (73379268).

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

30414240 is a wasteful number, since it uses less digits than its factorization.

30414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21142 (or 21131 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 30414240 is about 5514.9106973731. The cubic root of 30414240 is about 312.1468736493.

Adding to 30414240 its reverse (4241403), we get a palindrome (34655643).

The spelling of 30414240 in words is "thirty million, four hundred fourteen thousand, two hundred forty".