1324383144 has 128 divisors (see below), whose sum is σ = 4076160000. Its totient is φ = 350106624.

The previous prime is 1324383127. The next prime is 1324383173. The reversal of 1324383144 is 4413834231.

It is a super-2 number, since 2×1324383144² = 3507981424222649472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 132432 + ... + 142080.

It is an arithmetic number, because the mean of its divisors is an integer number (31845000).

Almost surely, 2^1324383144 is an apocalyptic number.

1324383144 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 1324383144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038080000).

1324383144 is an abundant number, since it is smaller than the sum of its proper divisors (2751776856).

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

1324383144 is a wasteful number, since it uses less digits than its factorization.

1324383144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9727 (or 9723 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 1324383144 is about 36392.0752911949. The cubic root of 1324383144 is about 1098.1741456560.

The spelling of 1324383144 in words is "one billion, three hundred twenty-four million, three hundred eighty-three thousand, one hundred forty-four".