1342304400 has 240 divisors, whose sum is σ = 4574975040. Its totient is φ = 335462400.

The previous prime is 1342304393. The next prime is 1342304413. The reversal of 1342304400 is 44032431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1342304400² = 3603562204518720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2576140 + ... + 2576660.

It is an arithmetic number, because the mean of its divisors is an integer number (19062396).

Almost surely, 2^1342304400 is an apocalyptic number.

1342304400 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 1342304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287487520).

1342304400 is an abundant number, since it is smaller than the sum of its proper divisors (3232670640).

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

1342304400 is a wasteful number, since it uses less digits than its factorization.

1342304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1342304400 is about 36637.4726202559. The cubic root of 1342304400 is about 1103.1053847893.

Adding to 1342304400 its reverse (44032431), we get a palindrome (1386336831).

The spelling of 1342304400 in words is "one billion, three hundred forty-two million, three hundred four thousand, four hundred".