314211030 has 192 divisors, whose sum is σ = 926354880. Its totient is φ = 67931136.

The previous prime is 314211013. The next prime is 314211043. The reversal of 314211030 is 30112413.

314211030 = 1² + 2² + ... + 980².

314211030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2882616 + ... + 2882724.

It is an arithmetic number, because the mean of its divisors is an integer number (4824765).

Almost surely, 2^314211030 is an apocalyptic number.

314211030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314211030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463177440).

314211030 is an abundant number, since it is smaller than the sum of its proper divisors (612143850).

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

314211030 is a wasteful number, since it uses less digits than its factorization.

314211030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 314211030 is about 17725.9987024709. The cubic root of 314211030 is about 679.8406705716.

Adding to 314211030 its reverse (30112413), we get a palindrome (344323443).

The spelling of 314211030 in words is "three hundred fourteen million, two hundred eleven thousand, thirty".