1304412340 has 144 divisors (see below), whose sum is σ = 3628001664. Its totient is φ = 388819200.

The previous prime is 1304412331. The next prime is 1304412341. The reversal of 1304412340 is 432144031.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304412341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245310 + ... + 250570.

It is an arithmetic number, because the mean of its divisors is an integer number (25194456).

Almost surely, 2^1304412340 is an apocalyptic number.

1304412340 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 1304412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814000832).

1304412340 is an abundant number, since it is smaller than the sum of its proper divisors (2323589324).

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

1304412340 is a wasteful number, since it uses less digits than its factorization.

1304412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1304412340 is about 36116.6490693697. The cubic root of 1304412340 is about 1092.6262570370.

Adding to 1304412340 its reverse (432144031), we get a palindrome (1736556371).

The spelling of 1304412340 in words is "one billion, three hundred four million, four hundred twelve thousand, three hundred forty".