345030920 has 128 divisors (see below), whose sum is σ = 873331200. Its totient is φ = 121844736.

The previous prime is 345030919. The next prime is 345030979. The reversal of 345030920 is 29030543.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 345030920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1519847 + ... + 1520073.

It is an arithmetic number, because the mean of its divisors is an integer number (6822900).

Almost surely, 2^345030920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345030920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436665600).

345030920 is an abundant number, since it is smaller than the sum of its proper divisors (528300280).

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

345030920 is a wasteful number, since it uses less digits than its factorization.

345030920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 345030920 is about 18575.0079407789. The cubic root of 345030920 is about 701.3788603680.

The spelling of 345030920 in words is "three hundred forty-five million, thirty thousand, nine hundred twenty".