345750240 has 144 divisors (see below), whose sum is σ = 1197325584. Its totient is φ = 83804160.

The previous prime is 345750227. The next prime is 345750247. The reversal of 345750240 is 42057543.

345750240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 345750198 and 345750207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345750247) 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, 55104 + ... + 61056.

It is an arithmetic number, because the mean of its divisors is an integer number (8314761).

Almost surely, 2^345750240 is an apocalyptic number.

345750240 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 345750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598662792).

345750240 is an abundant number, since it is smaller than the sum of its proper divisors (851575344).

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

345750240 is a wasteful number, since it uses less digits than its factorization.

345750240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 345750240 is about 18594.3604353578. The cubic root of 345750240 is about 701.8659332780.

The spelling of 345750240 in words is "three hundred forty-five million, seven hundred fifty thousand, two hundred forty".