345141220 has 48 divisors (see below), whose sum is σ = 773942400. Its totient is φ = 128975616.

The previous prime is 345141131. The next prime is 345141221. The reversal of 345141220 is 22141543.

It is a junction number, because it is equal to n+sod(n) for n = 345141191 and 345141200.

It is not an unprimeable number, because it can be changed into a prime (345141221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11056 + ... + 28504.

It is an arithmetic number, because the mean of its divisors is an integer number (16123800).

Almost surely, 2^345141220 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 345141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386971200).

345141220 is an abundant number, since it is smaller than the sum of its proper divisors (428801180).

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

345141220 is a wasteful number, since it uses less digits than its factorization.

345141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17524 (or 17522 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 345141220 is about 18577.9767466751. The cubic root of 345141220 is about 701.4535916859.

Adding to 345141220 its reverse (22141543), we get a palindrome (367282763).

The spelling of 345141220 in words is "three hundred forty-five million, one hundred forty-one thousand, two hundred twenty".