1304444031 has 16 divisors (see below), whose sum is σ = 1997235840. Its totient is φ = 748962720.

The previous prime is 1304444023. The next prime is 1304444101.

1304444031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1304444031 - 2³ = 1304444023 is a prime.

It is a super-2 number, since 2×1304444031² = 3403148460023057922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1304443992 and 1304444010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304444131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1039600 + ... + 1040853.

It is an arithmetic number, because the mean of its divisors is an integer number (124827240).

Almost surely, 2^1304444031 is an apocalyptic number.

1304444031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1304444031 is a deficient number, since it is larger than the sum of its proper divisors (692791809).

1304444031 is a wasteful number, since it uses less digits than its factorization.

1304444031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080486.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1304444031 is about 36117.0877978832. The cubic root of 1304444031 is about 1092.6351055014.

It can be divided in two parts, 13044 and 44031, that added together give a palindrome (57075).

The spelling of 1304444031 in words is "one billion, three hundred four million, four hundred forty-four thousand, thirty-one".