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

bin | 10110101110110… |

… | …011001010111100 |

3 | 222120121110010200 |

4 | 112232303022330 |

5 | 1240112220342 |

6 | 101502003500 |

7 | 12310365030 |

oct | 2656631274 |

9 | 876543120 |

10 | 381366972 |

11 | 1862a9718 |

12 | a7876590 |

13 | 6101943c |

14 | 389141c0 |

15 | 2373294c |

hex | 16bb32bc |

381366972 has 36 divisors (see below), whose sum is σ = 1101727536. Its totient is φ = 108961920.

The previous prime is 381366971. The next prime is 381367003. The reversal of 381366972 is 279663183.

381366972 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

381366972 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381366971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 756429 + ... + 756932.

Almost surely, 2^{381366972} is an apocalyptic number.

It is an amenable number.

381366972 is an abundant number, since it is smaller than the sum of its proper divisors (720360564).

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

381366972 is a wasteful number, since it uses less digits than its factorization.

381366972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513378 (or 1513373 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 381366972 is about 19528.6193060339. The cubic root of 381366972 is about 725.1831305914.

The spelling of 381366972 in words is "three hundred eighty-one million, three hundred sixty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1513361 3026722 4540083 6053444 9080166 10593527 13620249 18160332 21187054 27240498 31780581 42374108 54480996 63561162 95341743 127122324 190683486 381366972

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