| Base | Representation |
|---|---|
| bin | 10011100101110… |
| … | …10110110000000 |
| 3 | 102110020111110000 |
| 4 | 21302322312000 |
| 5 | 314032440133 |
| 6 | 24150240000 |
| 7 | 4033615413 |
| oct | 1162726600 |
| 9 | 373214400 |
| 10 | 164343168 |
| 11 | 84849500 |
| 12 | 47056000 |
| 13 | 280815a2 |
| 14 | 17b7db7a |
| 15 | e664413 |
| hex | 9cbad80 |
164343168 has 240 divisors, whose sum is σ = 541690380. Its totient is φ = 49420800.
The previous prime is 164343163. The next prime is 164343173. The reversal of 164343168 is 861343461.
It is a happy number.
164343168 is a `hidden beast` number, since 1 + 643 + 4 + 3 + 1 + 6 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (164343163) and next prime (164343173).
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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (164343163) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1254463 + ... + 1254593.
Almost surely, 2164343168 is an apocalyptic number.
164343168 is a gapful number since it is divisible by the number (18) 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 164343168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270845190).
164343168 is an abundant number, since it is smaller than the sum of its proper divisors (377347212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164343168 is a wasteful number, since it uses less digits than its factorization.
164343168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 179 (or 147 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
The square root of 164343168 is about 12819.6399325410. The cubic root of 164343168 is about 547.7518900992.
The spelling of 164343168 in words is "one hundred sixty-four million, three hundred forty-three thousand, one hundred sixty-eight".
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