| Base | Representation |
|---|---|
| bin | 11100110111001… |
| … | …00010110000000 |
| 3 | 121212120100102200 |
| 4 | 32123210112000 |
| 5 | 443434422101 |
| 6 | 40005113200 |
| 7 | 5666611401 |
| oct | 1633442600 |
| 9 | 555510380 |
| 10 | 242107776 |
| 11 | 114733179 |
| 12 | 690b8800 |
| 13 | 3b20b351 |
| 14 | 242239a8 |
| 15 | 163c5986 |
| hex | e6e4580 |
242107776 has 96 divisors (see below), whose sum is σ = 720813600. Its totient is φ = 77908992.
The previous prime is 242107771. The next prime is 242107777. The reversal of 242107776 is 677701242.
It is a happy number.
242107776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 242107776.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (242107771) 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, 29785 + ... + 37031.
It is an arithmetic number, because the mean of its divisors is an integer number (7508475).
Almost surely, 2242107776 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 242107776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360406800).
242107776 is an abundant number, since it is smaller than the sum of its proper divisors (478705824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242107776 is a wasteful number, since it uses less digits than its factorization.
242107776 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7296 (or 7281 counting only the distinct ones).
The product of its (nonzero) digits is 32928, while the sum is 36.
The square root of 242107776 is about 15559.8128523450. The cubic root of 242107776 is about 623.2604651078.
The spelling of 242107776 in words is "two hundred forty-two million, one hundred seven thousand, seven hundred seventy-six".
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