314035002 has 64 divisors (see below), whose sum is σ = 739814400. Its totient is φ = 98463600.

The previous prime is 314034979. The next prime is 314035003. The reversal of 314035002 is 200530413.

314035002 is a `hidden beast` number, since 314 + 0 + 350 + 0 + 2 = 666.

It is a super-2 number, since 2×314035002² = 197235964962280008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (314035003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153913 + ... + 155939.

It is an arithmetic number, because the mean of its divisors is an integer number (11559600).

Almost surely, 2^314035002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314035002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369907200).

314035002 is an abundant number, since it is smaller than the sum of its proper divisors (425779398).

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

314035002 is a wasteful number, since it uses less digits than its factorization.

314035002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 314035002 is about 17721.0327577148. The cubic root of 314035002 is about 679.7136929074.

Adding to 314035002 its reverse (200530413), we get a palindrome (514565415).

The spelling of 314035002 in words is "three hundred fourteen million, thirty-five thousand, two".