3103242400 has 72 divisors (see below), whose sum is σ = 7583631804. Its totient is φ = 1240012800.

The previous prime is 3103242391. The next prime is 3103242419. The reversal of 3103242400 is 42423013.

It can be written as a sum of positive squares in 6 ways, for example, as 623600784 + 2479641616 = 24972^2 + 49796^2 .

It is a super-2 number, since 2×3103242400² = 19260226786315520000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1295604 + ... + 1297996.

Almost surely, 2^3103242400 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 3103242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791815902).

3103242400 is an abundant number, since it is smaller than the sum of its proper divisors (4480389404).

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

3103242400 is a wasteful number, since it uses less digits than its factorization.

3103242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3103242400 is about 55706.7536300582. The cubic root of 3103242400 is about 1458.6079181102.

Adding to 3103242400 its reverse (42423013), we get a palindrome (3145665413).

The spelling of 3103242400 in words is "three billion, one hundred three million, two hundred forty-two thousand, four hundred".