345410144 has 48 divisors (see below), whose sum is σ = 703116288. Its totient is φ = 166933632.

The previous prime is 345410141. The next prime is 345410173. The reversal of 345410144 is 441014543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345410141) 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 7 ways as a sum of consecutive naturals, for example, 123449 + ... + 126215.

It is an arithmetic number, because the mean of its divisors is an integer number (14648256).

Almost surely, 2^345410144 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 345410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351558144).

345410144 is an abundant number, since it is smaller than the sum of its proper divisors (357706144).

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

345410144 is a wasteful number, since it uses less digits than its factorization.

345410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 345410144 is about 18585.2130469360. The cubic root of 345410144 is about 701.6357284676.

Adding to 345410144 its reverse (441014543), we get a palindrome (786424687).

The spelling of 345410144 in words is "three hundred forty-five million, four hundred ten thousand, one hundred forty-four".