345335144 has 128 divisors (see below), whose sum is σ = 873504000. Its totient is φ = 126443520.

The previous prime is 345335143. The next prime is 345335147. The reversal of 345335144 is 441533543.

It is a self number, because there is not a number n which added to its sum of digits gives 345335144.

It is not an unprimeable number, because it can be changed into a prime (345335143) 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, 512792 + ... + 513464.

It is an arithmetic number, because the mean of its divisors is an integer number (6824250).

Almost surely, 2^345335144 is an apocalyptic number.

345335144 is a gapful number since it is divisible by the number (34) 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 345335144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436752000).

345335144 is an abundant number, since it is smaller than the sum of its proper divisors (528168856).

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

345335144 is a wasteful number, since it uses less digits than its factorization.

345335144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 710 counting only the distinct ones).

The product of its digits is 43200, while the sum is 32.

The square root of 345335144 is about 18583.1952042699. The cubic root of 345335144 is about 701.5849419947.

Adding to 345335144 its reverse (441533543), we get a palindrome (786868687).

The spelling of 345335144 in words is "three hundred forty-five million, three hundred thirty-five thousand, one hundred forty-four".