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

bin | 1011101000001100000 |

3 | 201100200000 |

4 | 1131001200 |

5 | 44143044 |

6 | 12100000 |

7 | 3144600 |

oct | 1350140 |

9 | 640600 |

10 | 381024 |

11 | 2402a6 |

12 | 164600 |

13 | 104577 |

14 | 9cc00 |

15 | 77d69 |

hex | 5d060 |

381024 has 108 divisors (see below), whose sum is σ = 1307124. Its totient is φ = 108864.

The previous prime is 381019. The next prime is 381037. The reversal of 381024 is 420183.

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.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 380988 and 381006.

It is a congruent number.

It is an unprimeable number.

381024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 54429 + ... + 54435.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2^{381024} 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 381024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653562).

381024 is an abundant number, since it is smaller than the sum of its proper divisors (926100).

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

381024 is an equidigital number, since it uses as much as digits as its factorization.

381024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 381024 is about 617.2714151814. The cubic root of 381024 is about 72.4965674158.

The spelling of 381024 in words is "three hundred eighty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 81 84 96 98 108 112 126 144 147 162 168 189 196 216 224 243 252 288 294 324 336 378 392 432 441 486 504 567 588 648 672 756 784 864 882 972 1008 1134 1176 1296 1323 1512 1568 1701 1764 1944 2016 2268 2352 2592 2646 3024 3402 3528 3888 3969 4536 4704 5292 6048 6804 7056 7776 7938 9072 10584 11907 13608 14112 15876 18144 21168 23814 27216 31752 42336 47628 54432 63504 95256 127008 190512 381024

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