| Base | Representation |
|---|---|
| bin | 11100111111100… |
| … | …10111110100000 |
| 3 | 121221122200000200 |
| 4 | 32133302332200 |
| 5 | 444230410123 |
| 6 | 40044545200 |
| 7 | 6012206250 |
| oct | 1637627640 |
| 9 | 557580020 |
| 10 | 243216288 |
| 11 | 11531aaa7 |
| 12 | 69552200 |
| 13 | 3b508a83 |
| 14 | 24431960 |
| 15 | 16544143 |
| hex | e7f2fa0 |
243216288 has 144 divisors (see below), whose sum is σ = 795465216. Its totient is φ = 69050880.
The previous prime is 243216271. The next prime is 243216289. The reversal of 243216288 is 882612342.
243216288 is a `hidden beast` number, since 2 + 4 + 3 + 21 + 628 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (243216289) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449298 + ... + 449838.
It is an arithmetic number, because the mean of its divisors is an integer number (5524064).
Almost surely, 2243216288 is an apocalyptic number.
243216288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 243216288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397732608).
243216288 is an abundant number, since it is smaller than the sum of its proper divisors (552248928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
243216288 is a wasteful number, since it uses less digits than its factorization.
243216288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 787 (or 776 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
The square root of 243216288 is about 15595.3931659320. The cubic root of 243216288 is about 624.2102348807.
The spelling of 243216288 in words is "two hundred forty-three million, two hundred sixteen thousand, two hundred eighty-eight".
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