320114304 has 96 divisors (see below), whose sum is σ = 925481700. Its totient is φ = 106205184.

The previous prime is 320114303. The next prime is 320114323. The reversal of 320114304 is 403411023.

It can be written as a sum of positive squares in 2 ways, for example, as 319694400 + 419904 = 17880^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320114303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309372 + ... + 310404.

Almost surely, 2^320114304 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 320114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462740850).

320114304 is an abundant number, since it is smaller than the sum of its proper divisors (605367396).

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

320114304 is a wasteful number, since it uses less digits than its factorization.

320114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 320114304 is about 17891.7384286715. The cubic root of 320114304 is about 684.0718094302.

Adding to 320114304 its reverse (403411023), we get a palindrome (723525327).

It can be divided in two parts, 32011 and 4304, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 320114304 in words is "three hundred twenty million, one hundred fourteen thousand, three hundred four".