1344290304 has 240 divisors, whose sum is σ = 4257169488. Its totient is φ = 375717888.

The previous prime is 1344290303. The next prime is 1344290333. The reversal of 1344290304 is 4030924431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344290303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3988824 + ... + 3989160.

Almost surely, 2^1344290304 is an apocalyptic number.

1344290304 is a gapful number since it is divisible by the number (14) 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 1344290304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128584744).

1344290304 is an abundant number, since it is smaller than the sum of its proper divisors (2912879184).

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

1344290304 is an equidigital number, since it uses as much as digits as its factorization.

1344290304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1344290304 is about 36664.5646912656. The cubic root of 1344290304 is about 1103.6491218485.

The spelling of 1344290304 in words is "one billion, three hundred forty-four million, two hundred ninety thousand, three hundred four".