345160144 has 40 divisors (see below), whose sum is σ = 772186688. Its totient is φ = 146396160.

The previous prime is 345160141. The next prime is 345160177. The reversal of 345160144 is 441061543.

It is a super-2 number, since 2×345160144² = 238271050012201472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345160141) 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, 5022 + ... + 26749.

Almost surely, 2^345160144 is an apocalyptic number.

It is an amenable number.

345160144 is an abundant number, since it is smaller than the sum of its proper divisors (427026544).

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

345160144 is a wasteful number, since it uses less digits than its factorization.

345160144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31883 (or 31877 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 345160144 is about 18578.4860524210. The cubic root of 345160144 is about 701.4664116220.

The spelling of 345160144 in words is "three hundred forty-five million, one hundred sixty thousand, one hundred forty-four".