314382000 has 160 divisors (see below), whose sum is σ = 1023220224. Its totient is φ = 83040000.

The previous prime is 314381971. The next prime is 314382091. The reversal of 314382000 is 283413.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905827 + ... + 906173.

Almost surely, 2^314382000 is an apocalyptic number.

314382000 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 314382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511610112).

314382000 is an abundant number, since it is smaller than the sum of its proper divisors (708838224).

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

314382000 is a wasteful number, since it uses less digits than its factorization.

314382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 314382000 is about 17730.8206239869. The cubic root of 314382000 is about 679.9639542600.

The spelling of 314382000 in words is "three hundred fourteen million, three hundred eighty-two thousand".