30400144 has 10 divisors (see below), whose sum is σ = 58900310. Its totient is φ = 15200064.

The previous prime is 30400127. The next prime is 30400159. The reversal of 30400144 is 44100403.

It can be written as a sum of positive squares in only one way, i.e., 27878400 + 2521744 = 5280^2 + 1588^2 .

It is a super-3 number, since 3×30400144³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 1900009 = 30400144 / (3 + 0 + 4 + 0 + 0 + 1 + 4 + 4).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 949989 + ... + 950020.

It is an arithmetic number, because the mean of its divisors is an integer number (5890031).

Almost surely, 2^30400144 is an apocalyptic number.

It is an amenable number.

30400144 is a deficient number, since it is larger than the sum of its proper divisors (28500166).

30400144 is a wasteful number, since it uses less digits than its factorization.

30400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900017 (or 1900011 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 30400144 is about 5513.6325593931. The cubic root of 30400144 is about 312.0986429274.

Adding to 30400144 its reverse (44100403), we get a palindrome (74500547).

The spelling of 30400144 in words is "thirty million, four hundred thousand, one hundred forty-four".