343012000 has 96 divisors (see below), whose sum is σ = 872136720. Its totient is φ = 132428800.

The previous prime is 343011983. The next prime is 343012003. The reversal of 343012000 is 210343.

343012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 169744 + 342842256 = 412^2 + 18516^2 .

It is not an unprimeable number, because it can be changed into a prime (343012003) 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 15 ways as a sum of consecutive naturals, for example, 114522 + ... + 117478.

Almost surely, 2^343012000 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 343012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436068360).

343012000 is an abundant number, since it is smaller than the sum of its proper divisors (529124720).

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

343012000 is a wasteful number, since it uses less digits than its factorization.

343012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 343012000 is about 18520.5831441669. The cubic root of 343012000 is about 700.0081631701.

Adding to 343012000 its reverse (210343), we get a palindrome (343222343).

The spelling of 343012000 in words is "three hundred forty-three million, twelve thousand".