1304138832 has 80 divisors (see below), whose sum is σ = 3445493760. Its totient is φ = 424931200.

The previous prime is 1304138813. The next prime is 1304138837. The reversal of 1304138832 is 2388314031.

It is a junction number, because it is equal to n+sod(n) for n = 1304138793 and 1304138802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304138837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539707 + ... + 542117.

It is an arithmetic number, because the mean of its divisors is an integer number (43068672).

Almost surely, 2^1304138832 is an apocalyptic number.

1304138832 is a gapful number since it is divisible by the number (12) 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 1304138832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722746880).

1304138832 is an abundant number, since it is smaller than the sum of its proper divisors (2141354928).

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

1304138832 is a wasteful number, since it uses less digits than its factorization.

1304138832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1304138832 is about 36112.8624177038. The cubic root of 1304138832 is about 1092.5498847370.

The spelling of 1304138832 in words is "one billion, three hundred four million, one hundred thirty-eight thousand, eight hundred thirty-two".