345044040 has 128 divisors (see below), whose sum is σ = 1155686400. Its totient is φ = 81688320.

The previous prime is 345044033. The next prime is 345044041. The reversal of 345044040 is 40440543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 345044040.

It is not an unprimeable number, because it can be changed into a prime (345044041) 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, 53721 + ... + 59799.

It is an arithmetic number, because the mean of its divisors is an integer number (9028800).

Almost surely, 2^345044040 is an apocalyptic number.

345044040 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 345044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577843200).

345044040 is an abundant number, since it is smaller than the sum of its proper divisors (810642360).

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

345044040 is a wasteful number, since it uses less digits than its factorization.

345044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 345044040 is about 18575.3611001240. The cubic root of 345044040 is about 701.3877503674.

Adding to 345044040 its reverse (40440543), we get a palindrome (385484583).

The spelling of 345044040 in words is "three hundred forty-five million, forty-four thousand, forty".