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

bin | 1110110100011100101001 |

3 | 21022101000000 |

4 | 32310130221 |

5 | 1443303331 |

6 | 215133213 |

7 | 45010032 |

oct | 16643451 |

9 | 7271000 |

10 | 3884841 |

11 | 2213814 |

12 | 1374209 |

13 | a6032c |

14 | 731a89 |

15 | 51b0e6 |

hex | 3b4729 |

3884841 has 21 divisors (see below), whose sum is σ = 5905479. Its totient is φ = 2554416.

The previous prime is 3884833. The next prime is 3884843. The reversal of 3884841 is 1484883.

The square root of 3884841 is 1971.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2205225 + 1679616 = 1485^2 + 1296^2 .

It is not a de Polignac number, because 3884841 - 2^{3} = 3884833 is a prime.

3884841 is a lucky number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3884796 and 3884805.

It is not an unprimeable number, because it can be changed into a prime (3884843) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 53181 + ... + 53253.

Almost surely, 2^{3884841} is an apocalyptic number.

3884841 is the 1971-st square number.

3884841 is the 986-th centered octagonal number.

It is an amenable number.

3884841 is a deficient number, since it is larger than the sum of its proper divisors (2020638).

3884841 is an frugal number, since it uses more digits than its factorization.

3884841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 76 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The cubic root of 3884841 is about 157.2018850657.

Multiplying 3884841 by its sum of digits (36), we get a square (139854276 = 11826^{2}).

The spelling of 3884841 in words is "three million, eight hundred eighty-four thousand, eight hundred forty-one".

Divisors: 1 3 9 27 73 81 219 243 657 729 1971 5329 5913 15987 17739 47961 53217 143883 431649 1294947 3884841

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