| Base | Representation |
|---|---|
| bin | 11100111001100… |
| … | …11100101000000 |
| 3 | 121220011211121211 |
| 4 | 32130303211000 |
| 5 | 444030313240 |
| 6 | 40020055504 |
| 7 | 6002432524 |
| oct | 1634634500 |
| 9 | 556154554 |
| 10 | 242432320 |
| 11 | 114934a99 |
| 12 | 69234594 |
| 13 | 3b2c2ca0 |
| 14 | 242a9d84 |
| 15 | 1643bbea |
| hex | e733940 |
242432320 has 112 divisors (see below), whose sum is σ = 628942608. Its totient is φ = 88473600.
The previous prime is 242432317. The next prime is 242432321. The reversal of 242432320 is 23234242.
It can be written as a sum of positive squares in 8 ways, for example, as 32993536 + 209438784 = 5744^2 + 14472^2 .
It is a junction number, because it is equal to n+sod(n) for n = 242432291 and 242432300.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (242432321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419872 + ... + 420448.
It is an arithmetic number, because the mean of its divisors is an integer number (5615559).
Almost surely, 2242432320 is an apocalyptic number.
242432320 is a gapful number since it is divisible by the number (20) 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 242432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314471304).
242432320 is an abundant number, since it is smaller than the sum of its proper divisors (386510288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242432320 is a wasteful number, since it uses less digits than its factorization.
242432320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 708 (or 698 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 22.
The square root of 242432320 is about 15570.2382769179. The cubic root of 242432320 is about 623.5388330479.
Adding to 242432320 its reverse (23234242), we get a palindrome (265666562).
The spelling of 242432320 in words is "two hundred forty-two million, four hundred thirty-two thousand, three hundred twenty".
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