1304434040 has 128 divisors (see below), whose sum is σ = 3630735360. Its totient is φ = 410724864.

The previous prime is 1304434031. The next prime is 1304434049. The reversal of 1304434040 is 404344031.

It is an interprime number because it is at equal distance from previous prime (1304434031) and next prime (1304434049).

It is a junction number, because it is equal to n+sod(n) for n = 1304433997 and 1304434015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304434049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 810917 + ... + 812523.

It is an arithmetic number, because the mean of its divisors is an integer number (28365120).

Almost surely, 2^1304434040 is an apocalyptic number.

1304434040 is a gapful number since it is divisible by the number (10) 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 1304434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815367680).

1304434040 is an abundant number, since it is smaller than the sum of its proper divisors (2326301320).

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

1304434040 is a wasteful number, since it uses less digits than its factorization.

1304434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 1304434040 is about 36116.9494835873. The cubic root of 1304434040 is about 1092.6323159233.

Adding to 1304434040 its reverse (404344031), we get a palindrome (1708778071).

Subtracting from 1304434040 its reverse (404344031), we obtain a palindrome (900090009).

The spelling of 1304434040 in words is "one billion, three hundred four million, four hundred thirty-four thousand, forty".