Base | Representation |
---|---|
bin | 1010010010101… |
… | …01101110000000 |
3 | 20000110020110000 |
4 | 11021111232000 |
5 | 134100144321 |
6 | 12322240000 |
7 | 2065554414 |
oct | 511255600 |
9 | 200406400 |
10 | 86334336 |
11 | 448082a0 |
12 | 24ab6000 |
13 | 14b6a60a |
14 | b674d44 |
15 | 78a5826 |
hex | 5255b80 |
86334336 has 160 divisors (see below), whose sum is σ = 280657080. Its totient is φ = 26127360.
The previous prime is 86334331. The next prime is 86334377. The reversal of 86334336 is 63343368.
It is a happy number.
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 a self number, because there is not a number n which added to its sum of digits gives 86334336.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (86334331) 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 19 ways as a sum of consecutive naturals, for example, 113670 + ... + 114426.
Almost surely, 286334336 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 86334336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140328540).
86334336 is an abundant number, since it is smaller than the sum of its proper divisors (194322744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86334336 is a wasteful number, since it uses less digits than its factorization.
86334336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 794 (or 773 counting only the distinct ones).
The product of its digits is 93312, while the sum is 36.
The square root of 86334336 is about 9291.6271987204. The cubic root of 86334336 is about 441.9717568953.
The spelling of 86334336 in words is "eighty-six million, three hundred thirty-four thousand, three hundred thirty-six".
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