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214326 = 23772
BaseRepresentation
bin110100010100110110
3101220000000
4310110312
523324301
64332130
71551600
oct642466
9356000
10214326
11137032
12a4046
1376728
1458170
1543786
hex34536

214326 has 48 divisors (see below), whose sum is σ = 560880. Its totient is φ = 61236.

The previous prime is 214309. The next prime is 214351. The reversal of 214326 is 623412.

It is a happy number.

214326 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (288) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 214299 and 214308.

It is a congruent number.

It is an unprimeable number.

214326 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30615 + ... + 30621.

It is an arithmetic number, because the mean of its divisors is an integer number (11685).

214326 is a Friedman number, since it can be written as 21^2*6*3^4, using all its digits and the basic arithmetic operations.

2214326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280440).

214326 is an abundant number, since it is smaller than the sum of its proper divisors (346554).

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

214326 is an frugal number, since it uses more digits than its factorization.

214326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 12 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 214326 is about 462.9535613860. The cubic root of 214326 is about 59.8445978504.

Adding to 214326 its reverse (623412), we get a palindrome (837738).

The spelling of 214326 in words is "two hundred fourteen thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 729 882 1134 1323 1458 1701 2187 2646 3402 3969 4374 5103 7938 10206 11907 15309 23814 30618 35721 71442 107163 214326