1304738112 has 112 divisors (see below), whose sum is σ = 3616634880. Its totient is φ = 414340608.

The previous prime is 1304738107. The next prime is 1304738143. The reversal of 1304738112 is 2118374031.

It is a self number, because there is not a number n which added to its sum of digits gives 1304738112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1584933 + ... + 1585755.

Almost surely, 2^1304738112 is an apocalyptic number.

1304738112 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 1304738112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808317440).

1304738112 is an abundant number, since it is smaller than the sum of its proper divisors (2311896768).

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

1304738112 is a wasteful number, since it uses less digits than its factorization.

1304738112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1304738112 is about 36121.1587853989. The cubic root of 1304738112 is about 1092.7172092107.

The spelling of 1304738112 in words is "one billion, three hundred four million, seven hundred thirty-eight thousand, one hundred twelve".