| Base | Representation |
|---|---|
| bin | 10100000100010… |
| … | …11111100010000 |
| 3 | 102201202211102100 |
| 4 | 22002023330100 |
| 5 | 321044022420 |
| 6 | 24412120400 |
| 7 | 4112624541 |
| oct | 1202137420 |
| 9 | 381684370 |
| 10 | 168345360 |
| 11 | 870323a7 |
| 12 | 48466100 |
| 13 | 28b53151 |
| 14 | 185024c8 |
| 15 | eba5190 |
| hex | a08bf10 |
168345360 has 120 divisors (see below), whose sum is σ = 574777944. Its totient is φ = 44144640.
The previous prime is 168345341. The next prime is 168345361. The reversal of 168345360 is 63543861.
168345360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 165482496 = 1692^2 + 12864^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (168345361) 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, 42004 + ... + 45836.
Almost surely, 2168345360 is an apocalyptic number.
168345360 is a gapful number since it is divisible by the number (10) 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 168345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287388972).
168345360 is an abundant number, since it is smaller than the sum of its proper divisors (406432584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168345360 is a wasteful number, since it uses less digits than its factorization.
168345360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3913 (or 3904 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 168345360 is about 12974.7971082403. The cubic root of 168345360 is about 552.1626804700.
The spelling of 168345360 in words is "one hundred sixty-eight million, three hundred forty-five thousand, three hundred sixty".
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