314034140 has 72 divisors (see below), whose sum is σ = 773070480. Its totient is φ = 106837248.

The previous prime is 314034131. The next prime is 314034143. The reversal of 314034140 is 41430413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314034143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133091 + ... + 135429.

It is an arithmetic number, because the mean of its divisors is an integer number (10737090).

Almost surely, 2^314034140 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 314034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386535240).

314034140 is an abundant number, since it is smaller than the sum of its proper divisors (459036340).

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

314034140 is a wasteful number, since it uses less digits than its factorization.

314034140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 314034140 is about 17721.0084363165. The cubic root of 314034140 is about 679.7130709876.

Adding to 314034140 its reverse (41430413), we get a palindrome (355464553).

The spelling of 314034140 in words is "three hundred fourteen million, thirty-four thousand, one hundred forty".