| Base | Representation |
|---|---|
| bin | 10011100110001… |
| … | …00111111001000 |
| 3 | 102110022121102200 |
| 4 | 21303010333020 |
| 5 | 314040302322 |
| 6 | 24151200200 |
| 7 | 4034150502 |
| oct | 1163047710 |
| 9 | 373277380 |
| 10 | 164384712 |
| 11 | 84877738 |
| 12 | 47076060 |
| 13 | 2809747b |
| 14 | 17b90d72 |
| 15 | e6718ac |
| hex | 9cc4fc8 |
164384712 has 36 divisors (see below), whose sum is σ = 445503435. Its totient is φ = 54758640.
The previous prime is 164384711. The next prime is 164384741. The reversal of 164384712 is 217483461.
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.
164384712 is a `hidden beast` number, since 1 + 643 + 8 + 4 + 7 + 1 + 2 = 666.
164384712 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 82192356 + 82192356 = 9066^2 + 9066^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=9066.
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 (164384711) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108037 + ... + 109547.
Almost surely, 2164384712 is an apocalyptic number.
164384712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
164384712 is an abundant number, since it is smaller than the sum of its proper divisors (281118723).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164384712 is an equidigital number, since it uses as much as digits as its factorization.
164384712 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3034 (or 1516 counting only the distinct ones).
The product of its digits is 32256, while the sum is 36.
The square root of 164384712 is about 12821.2601564745. The cubic root of 164384712 is about 547.7980412669.
The spelling of 164384712 in words is "one hundred sixty-four million, three hundred eighty-four thousand, seven hundred twelve".
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