345165040 has 40 divisors (see below), whose sum is σ = 875466288. Its totient is φ = 125514240.

The previous prime is 345165031. The next prime is 345165043. The reversal of 345165040 is 40561543.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345165043) 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 7 ways as a sum of consecutive naturals, for example, 195237 + ... + 196996.

Almost surely, 2^345165040 is an apocalyptic number.

It is an amenable number.

345165040 is an abundant number, since it is smaller than the sum of its proper divisors (530301248).

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

345165040 is a wasteful number, since it uses less digits than its factorization.

345165040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392257 (or 392251 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 345165040 is about 18578.6178172651. The cubic root of 345165040 is about 701.4697283078.

The spelling of 345165040 in words is "three hundred forty-five million, one hundred sixty-five thousand, forty".