1345510320 has 240 divisors, whose sum is σ = 5240497920. Its totient is φ = 279544320.

The previous prime is 1345510319. The next prime is 1345510351. The reversal of 1345510320 is 230155431.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 199971 + ... + 206589.

It is an arithmetic number, because the mean of its divisors is an integer number (21835408).

Almost surely, 2^1345510320 is an apocalyptic number.

1345510320 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 1345510320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620248960).

1345510320 is an abundant number, since it is smaller than the sum of its proper divisors (3894987600).

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

1345510320 is a wasteful number, since it uses less digits than its factorization.

1345510320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1345510320 is about 36681.1984537038. The cubic root of 1345510320 is about 1103.9828946100.

Adding to 1345510320 its reverse (230155431), we get a palindrome (1575665751).

The spelling of 1345510320 in words is "one billion, three hundred forty-five million, five hundred ten thousand, three hundred twenty".