345505140 has 72 divisors (see below), whose sum is σ = 1057885920. Its totient is φ = 91268544.

The previous prime is 345505109. The next prime is 345505141. The reversal of 345505140 is 41505543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345505141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10291 + ... + 28229.

It is an arithmetic number, because the mean of its divisors is an integer number (14692860).

Almost surely, 2^345505140 is an apocalyptic number.

345505140 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 345505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528942960).

345505140 is an abundant number, since it is smaller than the sum of its proper divisors (712380780).

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

345505140 is a wasteful number, since it uses less digits than its factorization.

345505140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18061 (or 18056 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 345505140 is about 18587.7685589207. The cubic root of 345505140 is about 701.7000447396.

The spelling of 345505140 in words is "three hundred forty-five million, five hundred five thousand, one hundred forty".