345180240 has 120 divisors (see below), whose sum is σ = 1227463848. Its totient is φ = 86630400.

The previous prime is 345180217. The next prime is 345180259. The reversal of 345180240 is 42081543.

345180240 is a `hidden beast` number, since 345 + 1 + 80 + 240 = 666.

345180240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 95413824 + 249766416 = 9768^2 + 15804^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1861 + ... + 26340.

Almost surely, 2^345180240 is an apocalyptic number.

345180240 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 345180240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613731924).

345180240 is an abundant number, since it is smaller than the sum of its proper divisors (882283608).

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

345180240 is a wasteful number, since it uses less digits than its factorization.

345180240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28237 (or 28228 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 345180240 is about 18579.0268851735. The cubic root of 345180240 is about 701.4800250086.

The spelling of 345180240 in words is "three hundred forty-five million, one hundred eighty thousand, two hundred forty".