Base | Representation |
---|---|
bin | 1010010101010… |
… | …1101001010000 |
3 | 10000120000121200 |
4 | 2211111221100 |
5 | 42043424131 |
6 | 4144551200 |
7 | 1034255505 |
oct | 245255120 |
9 | 100500550 |
10 | 43342416 |
11 | 22513887 |
12 | 12622500 |
13 | 8c97000 |
14 | 5a834ac |
15 | 3c122e6 |
hex | 2955a50 |
43342416 has 120 divisors (see below), whose sum is σ = 132361320. Its totient is φ = 13238784.
The previous prime is 43342381. The next prime is 43342417. The reversal of 43342416 is 61424334.
It can be written as a sum of positive squares in 4 ways, for example, as 11532816 + 31809600 = 3396^2 + 5640^2 .
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 4.
It is a self number, because there is not a number n which added to its sum of digits gives 43342416.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (43342417) 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 23 ways as a sum of consecutive naturals, for example, 316300 + ... + 316436.
It is an arithmetic number, because the mean of its divisors is an integer number (1103011).
Almost surely, 243342416 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 43342416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66180660).
43342416 is an abundant number, since it is smaller than the sum of its proper divisors (89018904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
43342416 is a wasteful number, since it uses less digits than its factorization.
43342416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 190 (or 155 counting only the distinct ones).
The product of its digits is 6912, while the sum is 27.
The square root of 43342416 is about 6583.4957279549. The cubic root of 43342416 is about 351.2672861222.
It can be divided in two parts, 433 and 42416, that added together give a square (42849 = 2072).
The spelling of 43342416 in words is "forty-three million, three hundred forty-two thousand, four hundred sixteen".
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