345104144 has 160 divisors (see below), whose sum is σ = 917084160. Its totient is φ = 121651200.

The previous prime is 345104141. The next prime is 345104159. The reversal of 345104144 is 441401543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (345104141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538064 + ... + 538704.

It is an arithmetic number, because the mean of its divisors is an integer number (5731776).

Almost surely, 2^345104144 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 345104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458542080).

345104144 is an abundant number, since it is smaller than the sum of its proper divisors (571980016).

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

345104144 is a wasteful number, since it uses less digits than its factorization.

345104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

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

The square root of 345104144 is about 18576.9788717111. The cubic root of 345104144 is about 701.4284734413.

Adding to 345104144 its reverse (441401543), we get a palindrome (786505687).

The spelling of 345104144 in words is "three hundred forty-five million, one hundred four thousand, one hundred forty-four".