Base | Representation |
---|---|
bin | 11101000000010… |
… | …10110101100000 |
3 | 121221211122002020 |
4 | 32200022311200 |
5 | 444242022031 |
6 | 40051021440 |
7 | 6013064211 |
oct | 1640126540 |
9 | 557748066 |
10 | 243314016 |
11 | 115387470 |
12 | 6959a880 |
13 | 3b5413ba |
14 | 24459408 |
15 | 16563096 |
hex | e80ad60 |
243314016 has 96 divisors (see below), whose sum is σ = 703842048. Its totient is φ = 72983040.
The previous prime is 243314011. The next prime is 243314039. The reversal of 243314016 is 610413342.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (243314011) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107650 + ... + 109886.
It is an arithmetic number, because the mean of its divisors is an integer number (7331688).
Almost surely, 2243314016 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 243314016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351921024).
243314016 is an abundant number, since it is smaller than the sum of its proper divisors (460528032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
243314016 is a wasteful number, since it uses less digits than its factorization.
243314016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2364 (or 2356 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
The square root of 243314016 is about 15598.5260842171. The cubic root of 243314016 is about 624.2938294041.
Adding to 243314016 its reverse (610413342), we get a palindrome (853727358).
The spelling of 243314016 in words is "two hundred forty-three million, three hundred fourteen thousand, sixteen".
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