1310242304 has 80 divisors (see below), whose sum is σ = 3004870176. Its totient is φ = 559104000.

The previous prime is 1310242303. The next prime is 1310242319. The reversal of 1310242304 is 4032420131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310242303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1006454 + ... + 1007754.

Almost surely, 2^1310242304 is an apocalyptic number.

1310242304 is a gapful number since it is divisible by the number (14) 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 1310242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502435088).

1310242304 is an abundant number, since it is smaller than the sum of its proper divisors (1694627872).

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

1310242304 is an equidigital number, since it uses as much as digits as its factorization.

1310242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1310242304 is about 36197.2692892710. The cubic root of 1310242304 is about 1094.2516390885.

Adding to 1310242304 its reverse (4032420131), we get a palindrome (5342662435).

The spelling of 1310242304 in words is "one billion, three hundred ten million, two hundred forty-two thousand, three hundred four".