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

bin | 1111010000101010010100 |

3 | 21112020112010 |

4 | 33100222110 |

5 | 2011003104 |

6 | 221424220 |

7 | 46000662 |

oct | 17205224 |

9 | 7466463 |

10 | 4000404 |

11 | 2292621 |

12 | 140b070 |

13 | aa0b05 |

14 | 761c32 |

15 | 540489 |

hex | 3d0a94 |

4000404 has 12 divisors (see below), whose sum is σ = 9334304. Its totient is φ = 1333464.

The previous prime is 4000379. The next prime is 4000439. The reversal of 4000404 is 4040004.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 333367 = 4000404 / (4 + 0 + 0 + 0 + 4 + 0 + 4).

4000404 is a modest number, since divided by 404 gives 400 as remainder.

It is a self number, because there is not a number *n* which added to its sum of digits gives 4000404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166672 + ... + 166695.

Almost surely, 2^{4000404} is an apocalyptic number.

It is an amenable number.

4000404 is an abundant number, since it is smaller than the sum of its proper divisors (5333900).

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

4000404 is a wasteful number, since it uses less digits than its factorization.

4000404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333374 (or 333372 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4000404 is about 2000.1009974499. The cubic root of 4000404 is about 158.7454492671.

Adding to 4000404 its reverse (4040004), we get a palindrome (8040408).

The spelling of 4000404 in words is "four million, four hundred four", and thus it is an aban number.

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