314331000 has 128 divisors (see below), whose sum is σ = 1014811200. Its totient is φ = 80908800.

The previous prime is 314330983. The next prime is 314331007. The reversal of 314331000 is 133413.

It is a super-2 number, since 2×314331000² = 197607955122000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314331007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85194 + ... + 88806.

Almost surely, 2^314331000 is an apocalyptic number.

314331000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507405600).

314331000 is an abundant number, since it is smaller than the sum of its proper divisors (700480200).

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

314331000 is a wasteful number, since it uses less digits than its factorization.

314331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 314331000 is about 17729.3823919504. The cubic root of 314331000 is about 679.9271836677.

Adding to 314331000 its reverse (133413), we get a palindrome (314464413).

It can be divided in two parts, 3143 and 31000, that added together give a palindrome (34143).

The spelling of 314331000 in words is "three hundred fourteen million, three hundred thirty-one thousand".