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

bin | 1001101001101000000 |

3 | 121001210000 |

4 | 1031031000 |

5 | 40104344 |

6 | 10440000 |

7 | 2454636 |

oct | 1151500 |

9 | 531700 |

10 | 316224 |

11 | 1a6647 |

12 | 133000 |

13 | b0c1c |

14 | 83356 |

15 | 63a69 |

hex | 4d340 |

316224 has 70 divisors (see below), whose sum is σ = 952754. Its totient is φ = 103680.

The previous prime is 316223. The next prime is 316241. The reversal of 316224 is 422613.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 129600 = 432^2 + 360^2 .

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 divisible by the product of its digits.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 316197 and 316206.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 316224.

It is not an unprimeable number, because it can be changed into a prime (316223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5154 + ... + 5214.

316224 is a Friedman number, since it can be written as 61*(24*3)^2, using all its digits and the basic arithmetic operations.

2^{316224} 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 316224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476377).

316224 is an abundant number, since it is smaller than the sum of its proper divisors (636530).

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

316224 is an equidigital number, since it uses as much as digits as its factorization.

316224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 316224 is about 562.3379766653. The cubic root of 316224 is about 68.1289364501.

Adding to 316224 its reverse (422613), we get a palindrome (738837).

It can be divided in two parts, 31622 and 4, that added together give a triangular number (31626 = T_{251}).

The spelling of 316224 in words is "three hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 144 162 183 192 216 244 288 324 366 432 488 549 576 648 732 864 976 1098 1296 1464 1647 1728 1952 2196 2592 2928 3294 3904 4392 4941 5184 5856 6588 8784 9882 11712 13176 17568 19764 26352 35136 39528 52704 79056 105408 158112 316224

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