314302000 has 80 divisors (see below), whose sum is σ = 786333600. Its totient is φ = 121363200.

The previous prime is 314301997. The next prime is 314302033. The reversal of 314302000 is 203413.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55291 + ... + 60709.

It is an arithmetic number, because the mean of its divisors is an integer number (9829170).

Almost surely, 2^314302000 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 314302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393166800).

314302000 is an abundant number, since it is smaller than the sum of its proper divisors (472031600).

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

314302000 is a wasteful number, since it uses less digits than its factorization.

314302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 314302000 is about 17728.5645216977. The cubic root of 314302000 is about 679.9062731257.

Adding to 314302000 its reverse (203413), we get a palindrome (314505413).

The spelling of 314302000 in words is "three hundred fourteen million, three hundred two thousand".