320341200 has 240 divisors, whose sum is σ = 1115928576. Its totient is φ = 78233600.

The previous prime is 320341193. The next prime is 320341223. The reversal of 320341200 is 2143023.

320341200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 320341200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 836209 + ... + 836591.

Almost surely, 2^320341200 is an apocalyptic number.

320341200 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 320341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557964288).

320341200 is an abundant number, since it is smaller than the sum of its proper divisors (795587376).

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

320341200 is a wasteful number, since it uses less digits than its factorization.

320341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 320341200 is about 17898.0781091155. The cubic root of 320341200 is about 684.2333938999.

Adding to 320341200 its reverse (2143023), we get a palindrome (322484223).

The spelling of 320341200 in words is "three hundred twenty million, three hundred forty-one thousand, two hundred".