345164409 has 20 divisors (see below), whose sum is σ = 533399460. Its totient is φ = 222173280.

The previous prime is 345164377. The next prime is 345164419. The reversal of 345164409 is 904461543.

345164409 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 644 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 158760000 + 186404409 = 12600^2 + 13653^2 .

It is not a de Polignac number, because 345164409 - 2⁵ = 345164377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345164419) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71122 + ... + 75819.

It is an arithmetic number, because the mean of its divisors is an integer number (26669973).

Almost surely, 2^345164409 is an apocalyptic number.

It is an amenable number.

345164409 is a deficient number, since it is larger than the sum of its proper divisors (188235051).

345164409 is a wasteful number, since it uses less digits than its factorization.

345164409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146982 (or 146973 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 345164409 is about 18578.6008353697. The cubic root of 345164409 is about 701.4693008527.

The spelling of 345164409 in words is "three hundred forty-five million, one hundred sixty-four thousand, four hundred nine".