345134220 has 96 divisors (see below), whose sum is σ = 1007596800. Its totient is φ = 88161024.

The previous prime is 345134203. The next prime is 345134227. The reversal of 345134220 is 22431543.

It is a super-3 number, since 3×345134220³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345134227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241147 + ... + 242573.

It is an arithmetic number, because the mean of its divisors is an integer number (10495800).

Almost surely, 2^345134220 is an apocalyptic number.

345134220 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 345134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503798400).

345134220 is an abundant number, since it is smaller than the sum of its proper divisors (662462580).

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

345134220 is a wasteful number, since it uses less digits than its factorization.

345134220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 345134220 is about 18577.7883506084. The cubic root of 345134220 is about 701.4488494644.

Adding to 345134220 its reverse (22431543), we get a palindrome (367565763).

The spelling of 345134220 in words is "three hundred forty-five million, one hundred thirty-four thousand, two hundred twenty".