Search a number
-
+
212344 = 231119127
BaseRepresentation
bin110011110101111000
3101210021121
4303311320
523243334
64315024
71543036
oct636570
9353247
10212344
111355a0
12a2a74
1375862
1457556
1542db4
hex33d78

212344 has 32 divisors (see below), whose sum is σ = 460800. Its totient is φ = 90720.

The previous prime is 212297. The next prime is 212353. The reversal of 212344 is 443212.

It is a congruent number.

It is an unprimeable number.

212344 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1609 + ... + 1735.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2212344 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 212344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230400).

212344 is an abundant number, since it is smaller than the sum of its proper divisors (248456).

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

212344 is a wasteful number, since it uses less digits than its factorization.

212344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 212344 is about 460.8079860419. The cubic root of 212344 is about 59.6595534037.

Adding to 212344 its reverse (443212), we get a palindrome (655556).

The spelling of 212344 in words is "two hundred twelve thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 11 19 22 38 44 76 88 127 152 209 254 418 508 836 1016 1397 1672 2413 2794 4826 5588 9652 11176 19304 26543 53086 106172 212344