1345345320 has 256 divisors, whose sum is σ = 4702924800. Its totient is φ = 304271360.

The previous prime is 1345345319. The next prime is 1345345321. The reversal of 1345345320 is 235435431.

It is an interprime number because it is at equal distance from previous prime (1345345319) and next prime (1345345321).

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

It is not an unprimeable number, because it can be changed into a prime (1345345321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3747301 + ... + 3747659.

It is an arithmetic number, because the mean of its divisors is an integer number (18370800).

Almost surely, 2^1345345320 is an apocalyptic number.

1345345320 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 1345345320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351462400).

1345345320 is an abundant number, since it is smaller than the sum of its proper divisors (3357579480).

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

1345345320 is a wasteful number, since it uses less digits than its factorization.

1345345320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 1345345320 is about 36678.9492761175. The cubic root of 1345345320 is about 1103.9377656054.

1345345320 divided by its sum of digits (30) gives a palindrome (44844844).

The spelling of 1345345320 in words is "one billion, three hundred forty-five million, three hundred forty-five thousand, three hundred twenty".