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216348 = 223112149
BaseRepresentation
bin110100110100011100
3101222202220
4310310130
523410343
64345340
71560516
oct646434
9358686
10216348
11138600
12a5250
1377622
1458bb6
1544183
hex34d1c

216348 has 36 divisors (see below), whose sum is σ = 558600. Its totient is φ = 65120.

The previous prime is 216347. The next prime is 216371. The reversal of 216348 is 843612.

It is a happy number.

216348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216348.

It is not an unprimeable number, because it can be changed into a prime (216347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1378 + ... + 1526.

2216348 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 216348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279300).

216348 is an abundant number, since it is smaller than the sum of its proper divisors (342252).

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

216348 is a wasteful number, since it uses less digits than its factorization.

216348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 216348 is about 465.1322392611. The cubic root of 216348 is about 60.0322049332.

Subtracting 216348 from its reverse (843612), we obtain a square (627264 = 7922).

It can be divided in two parts, 2163 and 48, that added together give a triangular number (2211 = T66).

The spelling of 216348 in words is "two hundred sixteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 149 242 298 363 447 484 596 726 894 1452 1639 1788 3278 4917 6556 9834 18029 19668 36058 54087 72116 108174 216348