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4314 = 23719

4314 has 8 divisors (see below), whose sum is σ = 8640. Its totient is φ = 1436.

The previous prime is 4297. The next prime is 4327. The reversal of 4314 is 4134.

Adding to 4314 its reverse (4134), we get a palindrome (8448).

It can be divided in two parts, 431 and 4, that added together give a triangular number (435 = T29).

It is a sphenic number, since it is the product of 3 distinct primes.

4314 is an admirable number.

It is a super-3 number, since 3×43143 = 240858333432, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4314.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 354 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

4314 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320).

4314 is a wasteful number, since it uses less digits than its factorization.

4314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724.

The product of its digits is 48, while the sum is 12.

The square root of 4314 is about 65.6810474947. The cubic root of 4314 is about 16.2789621572.

The spelling of 4314 in words is "four thousand, three hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 719 1438 2157 4314