| Base | Representation |
|---|---|
| bin | 10011100101000… |
| … | …10011000000000 |
| 3 | 102110001101222000 |
| 4 | 21302202120000 |
| 5 | 314021233234 |
| 6 | 24144144000 |
| 7 | 4033020255 |
| oct | 1162423000 |
| 9 | 373041860 |
| 10 | 164242944 |
| 11 | 84790178 |
| 12 | 47008000 |
| 13 | 28047a98 |
| 14 | 17b5542c |
| 15 | e644899 |
| hex | 9ca2600 |
164242944 has 120 divisors (see below), whose sum is σ = 490671720. Its totient is φ = 54245376.
The previous prime is 164242943. The next prime is 164242993. The reversal of 164242944 is 449242461.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
164242944 is a `hidden beast` number, since 1 + 642 + 4 + 2 + 9 + 4 + 4 = 666.
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 junction number, because it is equal to n+sod(n) for n = 164242899 and 164242908.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (164242943) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1506762 + ... + 1506870.
It is an arithmetic number, because the mean of its divisors is an integer number (4088931).
Almost surely, 2164242944 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 164242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245335860).
164242944 is an abundant number, since it is smaller than the sum of its proper divisors (326428776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164242944 is an frugal number, since it uses more digits than its factorization.
164242944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 245 (or 114 counting only the distinct ones).
The product of its digits is 55296, while the sum is 36.
The square root of 164242944 is about 12815.7303342416. The cubic root of 164242944 is about 547.6405193830.
Multiplying 164242944 by its product of digits (55296), we get a square (9081977831424 = 30136322).
The spelling of 164242944 in words is "one hundred sixty-four million, two hundred forty-two thousand, nine hundred forty-four".
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