343305504 has 72 divisors (see below), whose sum is σ = 986419980. Its totient is φ = 113246208.

The previous prime is 343305503. The next prime is 343305559. The reversal of 343305504 is 405503343.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 336649104 + 6656400 = 18348^2 + 2580^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343305503) 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 11 ways as a sum of consecutive naturals, for example, 21792 + ... + 34080.

Almost surely, 2^343305504 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 343305504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493209990).

343305504 is an abundant number, since it is smaller than the sum of its proper divisors (643114476).

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

343305504 is a wasteful number, since it uses less digits than its factorization.

343305504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402 (or 12391 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 343305504 is about 18528.5051744602. The cubic root of 343305504 is about 700.2077641786.

Adding to 343305504 its reverse (405503343), we get a palindrome (748808847).

The spelling of 343305504 in words is "three hundred forty-three million, three hundred five thousand, five hundred four".