320384340 has 36 divisors (see below), whose sum is σ = 971833044. Its totient is φ = 85435776.

The previous prime is 320384333. The next prime is 320384381. The reversal of 320384340 is 43483023.

It can be written as a sum of positive squares in 2 ways, for example, as 220344336 + 100040004 = 14844^2 + 10002^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×320384340³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 889777 + ... + 890136.

Almost surely, 2^320384340 is an apocalyptic number.

320384340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320384340 is an abundant number, since it is smaller than the sum of its proper divisors (651448704).

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

320384340 is a wasteful number, since it uses less digits than its factorization.

320384340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779928 (or 1779923 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 320384340 is about 17899.2832258725. The cubic root of 320384340 is about 684.2641075095.

The spelling of 320384340 in words is "three hundred twenty million, three hundred eighty-four thousand, three hundred forty".