314140000 has 120 divisors (see below), whose sum is σ = 785279880. Its totient is φ = 123648000.

The previous prime is 314139989. The next prime is 314140037. The reversal of 314140000 is 41413.

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 19 ways as a sum of consecutive naturals, for example, 2259931 + ... + 2260069.

It is an arithmetic number, because the mean of its divisors is an integer number (6543999).

Almost surely, 2^314140000 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 314140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392639940).

314140000 is an abundant number, since it is smaller than the sum of its proper divisors (471139880).

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

314140000 is a wasteful number, since it uses less digits than its factorization.

314140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 314140000 is about 17723.9950349801. The cubic root of 314140000 is about 679.7894388436.

Adding to 314140000 its reverse (41413), we get a palindrome (314181413).

The spelling of 314140000 in words is "three hundred fourteen million, one hundred forty thousand".