345205140 has 96 divisors (see below), whose sum is σ = 1107800064. Its totient is φ = 78679680.

The previous prime is 345205123. The next prime is 345205141. The reversal of 345205140 is 41502543.

It is a self number, because there is not a number n which added to its sum of digits gives 345205140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345205141) 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 31 ways as a sum of consecutive naturals, for example, 180067 + ... + 181973.

It is an arithmetic number, because the mean of its divisors is an integer number (11539584).

Almost surely, 2^345205140 is an apocalyptic number.

345205140 is a gapful number since it is divisible by the number (30) 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 345205140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553900032).

345205140 is an abundant number, since it is smaller than the sum of its proper divisors (762594924).

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

345205140 is a wasteful number, since it uses less digits than its factorization.

345205140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 345205140 is about 18579.6969835355. The cubic root of 345205140 is about 701.4968919770.

Adding to 345205140 its reverse (41502543), we get a palindrome (386707683).

The spelling of 345205140 in words is "three hundred forty-five million, two hundred five thousand, one hundred forty".