1347306345 has 256 divisors, whose sum is σ = 3193896960. Its totient is φ = 522547200.

The previous prime is 1347306341. The next prime is 1347306353. The reversal of 1347306345 is 5436037431.

1347306345 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 306 + 345 = 666.

It is not a de Polignac number, because 1347306345 - 2² = 1347306341 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1347306341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11923009 + ... + 11923121.

It is an arithmetic number, because the mean of its divisors is an integer number (12476160).

Almost surely, 2^1347306345 is an apocalyptic number.

1347306345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1347306345 is an abundant number, since it is smaller than the sum of its proper divisors (1846590615).

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

1347306345 is a wasteful number, since it uses less digits than its factorization.

1347306345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 1347306345 is about 36705.6718369246. The cubic root of 1347306345 is about 1104.4738853463.

The spelling of 1347306345 in words is "one billion, three hundred forty-seven million, three hundred six thousand, three hundred forty-five".