243768 has 32 divisors (see below), whose sum is σ = 696960. Its totient is φ = 69600.

The previous prime is 243709. The next prime is 243769. The reversal of 243768 is 867342.

It can be divided in two parts, 243 and 768, that multiplied together give a square (186624 = 432^{2}).

243768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as **2**^{17} + **4**^{7} + **7**^{5} + **3**^{4} + **6**^{6} + **8**^{5} .

It is one of the 548 Lynch-Bell numbers.

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 243768.

It is not an unprimeable number, because it can be changed into a prime (243769) by changing a digit.

243768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (21780).

2^{243768} is an apocalyptic number.

243768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

243768 is an abundant number, since it is smaller than the sum of its proper divisors (453192).

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

243768 is a wasteful number, since it uses less digits than its factorization.

243768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1463 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 243768 is about 493.7286704254. The cubic root of 243768 is about 62.4681864758.

The spelling of 243768 in words is "two hundred forty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1451 2902 4353 5804 8706 10157 11608 17412 20314 30471 34824 40628 60942 81256 121884 243768

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.100 sec. • engine limits •