Base | Representation |
---|---|

bin | 110001100000 |

3 | 11100100 |

4 | 301200 |

5 | 100133 |

6 | 22400 |

7 | 12144 |

oct | 6140 |

9 | 4310 |

10 | 3168 |

11 | 2420 |

12 | 1a00 |

13 | 1599 |

14 | 1224 |

15 | e13 |

hex | c60 |

It has 36 divisors, whose sum is σ = 9828. Its totient is φ = 960.

The sum of its prime factors is 27 (or 16 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

Its square root is about 56.2849891179.

Its cubic root is about 14.6868409241.

It is an interprime number because it is at equal distance from previous prime (3167) and next prime (3169).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisibly by the product of its digits.

It is one of the 548 Lynch-Bell numbers.

Its product of digits (144) is a multiple of the sum of its prime divisors (16).

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 9 and base 16.

It is a zygodrome in base 2.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (273).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914).

3168 is an abundant number, since it is smaller than the sum of its proper divisors (6660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3168 is a wasteful number, since it uses less digits than its factorization.

3168 is an evil number, because the sum of its binary digits is even.

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168

Rotate and reverse: 8613 8316 6138 6831 1386 1683 3861
Swap: 1368 3618 3186
Increase digits: 4279 5380 6491 7502 8613 9724 835 1946 2057
One digit less: 316 318 368 168
One more '0': 31680 31608 31068 30168
One more '1': 31681 31618 31168 13168
One more '2': 31682 31628 31268 32168 23168
One more '3': 31683 31638 31368 33168
One more '4': 31684 31648 31468 34168 43168
One more '5': 31685 31658 31568 35168 53168
One more '6': 31686 31668 36168 63168
One more '7': 31687 31678 31768 37168 73168
One more '8': 31688 31868 38168 83168
One more '9': 31689 31698 31968 39168 93168
Change last digit: 3160 3161 3162 3163 3164 3165 3166 3167 3169
Change 1st digit: 1168 2168 4168 5168 6168 7168 8168 9168
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