1003342400 has 42 divisors (see below), whose sum is σ = 2468853330. Its totient is φ = 401336320.

The previous prime is 1003342369. The next prime is 1003342427. The reversal of 1003342400 is 42433001.

1003342400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 18386944 + 984955456 = 4288^2 + 31384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 311945 + ... + 315144.

Almost surely, 2^1003342400 is an apocalyptic number.

1003342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003342400 is an abundant number, since it is smaller than the sum of its proper divisors (1465510930).

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

1003342400 is an equidigital number, since it uses as much as digits as its factorization.

1003342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627111 (or 627096 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1003342400 is about 31675.5804998109. The cubic root of 1003342400 is about 1001.1128943401.

Adding to 1003342400 its reverse (42433001), we get a palindrome (1045775401).

The spelling of 1003342400 in words is "one billion, three million, three hundred forty-two thousand, four hundred".