314321040 has 160 divisors (see below), whose sum is σ = 1181174400. Its totient is φ = 76193280.

The previous prime is 314321027. The next prime is 314321069. The reversal of 314321040 is 40123413.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17146 + ... + 30374.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 2^314321040 is an apocalyptic number.

314321040 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 314321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590587200).

314321040 is an abundant number, since it is smaller than the sum of its proper divisors (866853360).

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

314321040 is a wasteful number, since it uses less digits than its factorization.

314321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13262 (or 13250 counting only the distinct ones).

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

The square root of 314321040 is about 17729.1015000761. The cubic root of 314321040 is about 679.9200021231.

Adding to 314321040 its reverse (40123413), we get a palindrome (354444453).

The spelling of 314321040 in words is "three hundred fourteen million, three hundred twenty-one thousand, forty".