Base | Representation |
---|---|
bin | 10100000100010… |
… | …01010010000000 |
3 | 102201202021110210 |
4 | 22002021102000 |
5 | 321043200324 |
6 | 24411554120 |
7 | 4112551014 |
oct | 1202112200 |
9 | 381667423 |
10 | 168334464 |
11 | 870251a1 |
12 | 4845b940 |
13 | 28b4b1bc |
14 | 184dc544 |
15 | eba1d29 |
hex | a089480 |
168334464 has 128 divisors (see below), whose sum is σ = 470016000. Its totient is φ = 53314560.
The previous prime is 168334451. The next prime is 168334469. The reversal of 168334464 is 464433861.
It is a happy number.
168334464 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 (128).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (168334469) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940327 + ... + 940505.
It is an arithmetic number, because the mean of its divisors is an integer number (3672000).
Almost surely, 2168334464 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 168334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).
168334464 is an abundant number, since it is smaller than the sum of its proper divisors (301681536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168334464 is a wasteful number, since it uses less digits than its factorization.
168334464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 306 (or 294 counting only the distinct ones).
The product of its digits is 165888, while the sum is 39.
The square root of 168334464 is about 12974.3772104868. The cubic root of 168334464 is about 552.1507674709.
The spelling of 168334464 in words is "one hundred sixty-eight million, three hundred thirty-four thousand, four hundred sixty-four".
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