Base | Representation |
---|---|
bin | 11100111110010… |
… | …01111010100000 |
3 | 121221100010022100 |
4 | 32133021322200 |
5 | 444210014341 |
6 | 40041210400 |
7 | 6010606014 |
oct | 1637117240 |
9 | 557303270 |
10 | 243048096 |
11 | 1152156a5 |
12 | 69490a00 |
13 | 3b47a355 |
14 | 243ca544 |
15 | 1650e3b6 |
hex | e7c9ea0 |
243048096 has 72 divisors (see below), whose sum is σ = 693119700. Its totient is φ = 80787456.
The previous prime is 243048049. The next prime is 243048109. The reversal of 243048096 is 690840342.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 242238096 + 810000 = 15564^2 + 900^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 243048096.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123730 + ... + 125678.
Almost surely, 2243048096 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 243048096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346559850).
243048096 is an abundant number, since it is smaller than the sum of its proper divisors (450071604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
243048096 is a wasteful number, since it uses less digits than its factorization.
243048096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2398 (or 2387 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 243048096 is about 15589.9998717126. Note that the first 3 decimals coincide. The cubic root of 243048096 is about 624.0663144513.
It can be divided in two parts, 24304 and 8096, that added together give a square (32400 = 1802).
The spelling of 243048096 in words is "two hundred forty-three million, forty-eight thousand, ninety-six".
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