1322344400 has 120 divisors (see below), whose sum is σ = 3454179960. Its totient is φ = 483563520.

The previous prime is 1322344367. The next prime is 1322344409. The reversal of 1322344400 is 44432231.

It can be written as a sum of positive squares in 12 ways, for example, as 560363584 + 761980816 = 23672^2 + 27604^2 .

It is a super-2 number, since 2×1322344400² = 3497189424422720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322344409) 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 23 ways as a sum of consecutive naturals, for example, 565634 + ... + 567966.

It is an arithmetic number, because the mean of its divisors is an integer number (28784833).

Almost surely, 2^1322344400 is an apocalyptic number.

1322344400 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 1322344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727089980).

1322344400 is an abundant number, since it is smaller than the sum of its proper divisors (2131835560).

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

1322344400 is a wasteful number, since it uses less digits than its factorization.

1322344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 1322344400 is about 36364.0536794236. The cubic root of 1322344400 is about 1097.6103496504.

Adding to 1322344400 its reverse (44432231), we get a palindrome (1366776631).

The spelling of 1322344400 in words is "one billion, three hundred twenty-two million, three hundred forty-four thousand, four hundred".