353334312 has 80 divisors (see below), whose sum is σ = 1016479860. Its totient is φ = 114587136.

The previous prime is 353334299. The next prime is 353334313. The reversal of 353334312 is 213433353.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 294259716 + 59074596 = 17154^2 + 7686^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (353334313) 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 19 ways as a sum of consecutive naturals, for example, 16608 + ... + 31344.

Almost surely, 2^353334312 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 353334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508239930).

353334312 is an abundant number, since it is smaller than the sum of its proper divisors (663145548).

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

353334312 is a wasteful number, since it uses less digits than its factorization.

353334312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14792 (or 14779 counting only the distinct ones).

The product of its digits is 9720, while the sum is 27.

The square root of 353334312 is about 18797.1889387749. The cubic root of 353334312 is about 706.9606986136.

Adding to 353334312 its reverse (213433353), we get a palindrome (566767665).

The spelling of 353334312 in words is "three hundred fifty-three million, three hundred thirty-four thousand, three hundred twelve".