1342304000 has 72 divisors (see below), whose sum is σ = 3343926768. Its totient is φ = 536908800.

The previous prime is 1342303993. The next prime is 1342304009. The reversal of 1342304000 is 4032431.

It is a self number, because there is not a number n which added to its sum of digits gives 1342304000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342304009) 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, 11027 + ... + 52973.

Almost surely, 2^1342304000 is an apocalyptic number.

1342304000 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 1342304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671963384).

1342304000 is an abundant number, since it is smaller than the sum of its proper divisors (2001622768).

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

1342304000 is an frugal number, since it uses more digits than its factorization.

1342304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41978 (or 41954 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1342304000 is about 36637.4671613637. The cubic root of 1342304000 is about 1103.1052752160.

Adding to 1342304000 its reverse (4032431), we get a palindrome (1346336431).

The spelling of 1342304000 in words is "one billion, three hundred forty-two million, three hundred four thousand".