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

bin | 1101110101110011001001 |

3 | 20211100000000 |

4 | 31311303021 |

5 | 1412100413 |

6 | 205433213 |

7 | 42560640 |

oct | 15656311 |

9 | 6740000 |

10 | 3628233 |

11 | 2058a44 |

12 | 126b809 |

13 | 9a05ab |

14 | 6a6357 |

15 | 4ba073 |

hex | 375cc9 |

3628233 has 36 divisors (see below), whose sum is σ = 6298240. Its totient is φ = 2047032.

The previous prime is 3628201. The next prime is 3628243. The reversal of 3628233 is 3328263.

It can be divided in two parts, 36282 and 33, that added together give a triangular number (36315 = T_{269}).

3628233 is a *`hidden beast`* number, since 3 + 628 + 2 + 33 = 666.

It is not a de Polignac number, because 3628233 - 2^{5} = 3628201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as **3**^{11} + **6**^{3} + **2**^{4} + **8**^{2} + **2**^{18} + **3**^{13} + **3**^{13} .

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 3628233 = 36^{3} + 153^{3} = 114^{3} + 129^{3}.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3628197 and 3628206.

It is not an unprimeable number, because it can be changed into a prime (3628243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45888 + ... + 45966.

Almost surely, 2^{3628233} is an apocalyptic number.

It is an amenable number.

3628233 is a deficient number, since it is larger than the sum of its proper divisors (2670007).

3628233 is an frugal number, since it uses more digits than its factorization.

3628233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3628233 is about 1904.7921146414. The cubic root of 3628233 is about 153.6614957618.

The spelling of 3628233 in words is "three million, six hundred twenty-eight thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 79 81 189 237 243 553 567 711 729 1659 1701 2133 2187 4977 5103 6399 6561 14931 15309 19197 44793 45927 57591 134379 172773 403137 518319 1209411 3628233

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