1304121344 has 104 divisors (see below), whose sum is σ = 2767902720. Its totient is φ = 613122048.

The previous prime is 1304121311. The next prime is 1304121347. The reversal of 1304121344 is 4431214031.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304121347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10268609 + ... + 10268735.

Almost surely, 2^1304121344 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 1304121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383951360).

1304121344 is an abundant number, since it is smaller than the sum of its proper divisors (1463781376).

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

1304121344 is a wasteful number, since it uses less digits than its factorization.

1304121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1304121344 is about 36112.6202870963. The cubic root of 1304121344 is about 1092.5450011573.

Adding to 1304121344 its reverse (4431214031), we get a palindrome (5735335375).

The spelling of 1304121344 in words is "one billion, three hundred four million, one hundred twenty-one thousand, three hundred forty-four".