214344 has 48 divisors (see below), whose sum is σ = 627900. Its totient is φ = 65664.
The previous prime is 214309. The next prime is 214351. The reversal of 214344 is 443412.
It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 900 = 462^2 + 30^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 6.
It is an unprimeable number.
214344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 822 + ... + 1050.
2214344 is an apocalyptic number.
214344 is a gapful number since it is divisible by the number (24) 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 214344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313950).
214344 is an abundant number, since it is smaller than the sum of its proper divisors (413556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214344 is a wasteful number, since it uses less digits than its factorization.
214344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 254 (or 247 counting only the distinct ones).
The product of its digits is 384, while the sum is 18.
The square root of 214344 is about 462.9730013727. The cubic root of 214344 is about 59.8462731372.
Adding to 214344 its reverse (443412), we get a palindrome (657756).
It can be divided in two parts, 2143 and 44, that added together give a 7-th power (2187 = 37).
The spelling of 214344 in words is "two hundred fourteen thousand, three hundred forty-four", and thus it is an iban number.
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