334321312 has 96 divisors (see below), whose sum is σ = 732306960. Its totient is φ = 149299200.

The previous prime is 334321231. The next prime is 334321327. The reversal of 334321312 is 213123433.

It can be written as a sum of positive squares in 8 ways, for example, as 242238096 + 92083216 = 15564^2 + 9596^2 .

It is a super-2 number, since 2×334321312² = 223541479314802688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3067114 + ... + 3067222.

Almost surely, 2^334321312 is an apocalyptic number.

334321312 is a gapful number since it is divisible by the number (32) 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 334321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366153480).

334321312 is an abundant number, since it is smaller than the sum of its proper divisors (397985648).

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

334321312 is a wasteful number, since it uses less digits than its factorization.

334321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 334321312 is about 18284.4554745281. The cubic root of 334321312 is about 694.0456248190.

Adding to 334321312 its reverse (213123433), we get a palindrome (547444745).

The spelling of 334321312 in words is "three hundred thirty-four million, three hundred twenty-one thousand, three hundred twelve".