314052000 has 96 divisors (see below), whose sum is σ = 1028873664. Its totient is φ = 83744000.

The previous prime is 314051989. The next prime is 314052019. The reversal of 314052000 is 250413.

It is a tau number, because it is divible by the number of its divisors (96).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086 + ... + 25085.

It is an arithmetic number, because the mean of its divisors is an integer number (10717434).

Almost surely, 2^314052000 is an apocalyptic number.

314052000 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 314052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514436832).

314052000 is an abundant number, since it is smaller than the sum of its proper divisors (714821664).

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

314052000 is a wasteful number, since it uses less digits than its factorization.

314052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26199 (or 26181 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 314052000 is about 17721.5123508125. The cubic root of 314052000 is about 679.7259564712.

The spelling of 314052000 in words is "three hundred fourteen million, fifty-two thousand".