1345048320 has 288 divisors, whose sum is σ = 5356915200. Its totient is φ = 279429120.

The previous prime is 1345048319. The next prime is 1345048339. The reversal of 1345048320 is 238405431.

1345048320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293406 + ... + 297954.

It is an arithmetic number, because the mean of its divisors is an integer number (18600400).

Almost surely, 2^1345048320 is an apocalyptic number.

1345048320 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 1345048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678457600).

1345048320 is an abundant number, since it is smaller than the sum of its proper divisors (4011866880).

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

1345048320 is a wasteful number, since it uses less digits than its factorization.

1345048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1345048320 is about 36674.9004088627. The cubic root of 1345048320 is about 1103.8565240978.

The spelling of 1345048320 in words is "one billion, three hundred forty-five million, forty-eight thousand, three hundred twenty".