1345893024 has 288 divisors, whose sum is σ = 4432748544. Its totient is φ = 349240320.

The previous prime is 1345892917. The next prime is 1345893053. The reversal of 1345893024 is 4203985431.

It is a super-2 number, since 2×1345893024² = 3622856064103729152, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25394182 + ... + 25394234.

It is an arithmetic number, because the mean of its divisors is an integer number (15391488).

Almost surely, 2^1345893024 is an apocalyptic number.

1345893024 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 1345893024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216374272).

1345893024 is an abundant number, since it is smaller than the sum of its proper divisors (3086855520).

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

1345893024 is a wasteful number, since it uses less digits than its factorization.

1345893024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 1345893024 is about 36686.4147062642. The cubic root of 1345893024 is about 1104.0875534428.

The spelling of 1345893024 in words is "one billion, three hundred forty-five million, eight hundred ninety-three thousand, twenty-four".