1304334144 has 112 divisors (see below), whose sum is σ = 3855354240. Its totient is φ = 432414720.

The previous prime is 1304334139. The next prime is 1304334149. The reversal of 1304334144 is 4414334031.

It is an interprime number because it is at equal distance from previous prime (1304334139) and next prime (1304334149).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304334149) 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, 331549 + ... + 335459.

Almost surely, 2^1304334144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927677120).

1304334144 is an abundant number, since it is smaller than the sum of its proper divisors (2551020096).

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

1304334144 is a wasteful number, since it uses less digits than its factorization.

1304334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1304334144 is about 36115.5665053173. The cubic root of 1304334144 is about 1092.6044232688.

Adding to 1304334144 its reverse (4414334031), we get a palindrome (5718668175).

The spelling of 1304334144 in words is "one billion, three hundred four million, three hundred thirty-four thousand, one hundred forty-four".