1304014032 has 80 divisors (see below), whose sum is σ = 3798953280. Its totient is φ = 428174208.

The previous prime is 1304014007. The next prime is 1304014037. The reversal of 1304014032 is 2304104031.

1304014032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1304013996 and 1304014014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304014037) 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, 6418 + ... + 51470.

It is an arithmetic number, because the mean of its divisors is an integer number (47486916).

Almost surely, 2^1304014032 is an apocalyptic number.

1304014032 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 1304014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899476640).

1304014032 is an abundant number, since it is smaller than the sum of its proper divisors (2494939248).

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

1304014032 is a wasteful number, since it uses less digits than its factorization.

1304014032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45137 (or 45125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1304014032 is about 36111.1344601634. The cubic root of 1304014032 is about 1092.5150329835.

Adding to 1304014032 its reverse (2304104031), we get a palindrome (3608118063).

It can be divided in two parts, 13040 and 14032, that added together give a palindrome (27072).

The spelling of 1304014032 in words is "one billion, three hundred four million, fourteen thousand, thirty-two".