1344315000 has 480 divisors, whose sum is σ = 5128358400. Its totient is φ = 292320000.

The previous prime is 1344314947. The next prime is 1344315013. The reversal of 1344315000 is 5134431.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22784971 + ... + 22785029.

It is an arithmetic number, because the mean of its divisors is an integer number (10684080).

Almost surely, 2^1344315000 is an apocalyptic number.

1344315000 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 1344315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564179200).

1344315000 is an abundant number, since it is smaller than the sum of its proper divisors (3784043400).

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

1344315000 is a wasteful number, since it uses less digits than its factorization.

1344315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1344315000 is about 36664.9014726618. The cubic root of 1344315000 is about 1103.6558801982.

Adding to 1344315000 its reverse (5134431), we get a palindrome (1349449431).

It can be divided in two parts, 134 and 4315000, that added together give a palindrome (4315134).

The spelling of 1344315000 in words is "one billion, three hundred forty-four million, three hundred fifteen thousand".