314002000 has 120 divisors (see below), whose sum is σ = 823038840. Its totient is φ = 115814400.

The previous prime is 314001983. The next prime is 314002021. The reversal of 314002000 is 200413.

It can be written as a sum of positive squares in 12 ways, for example, as 307791936 + 6210064 = 17544^2 + 2492^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 337536 + ... + 338464.

It is an arithmetic number, because the mean of its divisors is an integer number (6858657).

Almost surely, 2^314002000 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 314002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411519420).

314002000 is an abundant number, since it is smaller than the sum of its proper divisors (509036840).

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

314002000 is a wasteful number, since it uses less digits than its factorization.

314002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 314002000 is about 17720.1015798443. The cubic root of 314002000 is about 679.6898816581.

Adding to 314002000 its reverse (200413), we get a palindrome (314202413).

The spelling of 314002000 in words is "three hundred fourteen million, two thousand".