314134000 has 80 divisors (see below), whose sum is σ = 792717120. Its totient is φ = 120172800.

The previous prime is 314133997. The next prime is 314134027. The reversal of 314134000 is 431413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42586 + ... + 49414.

It is an arithmetic number, because the mean of its divisors is an integer number (9908964).

Almost surely, 2^314134000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396358560).

314134000 is an abundant number, since it is smaller than the sum of its proper divisors (478583120).

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

314134000 is a wasteful number, since it uses less digits than its factorization.

314134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6875 (or 6859 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 314134000 is about 17723.8257721069. The cubic root of 314134000 is about 679.7851108767.

Adding to 314134000 its reverse (431413), we get a palindrome (314565413).

The spelling of 314134000 in words is "three hundred fourteen million, one hundred thirty-four thousand".