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

bin | 10110111001000… |

… | …111101000000000 |

3 | 222202200220000000 |

4 | 112321013220000 |

5 | 1241310302232 |

6 | 102040000000 |

7 | 12342363000 |

oct | 2671075000 |

9 | 882626000 |

10 | 384072192 |

11 | 187887139 |

12 | a8760000 |

13 | 6175586a |

14 | 3901a000 |

15 | 23ab927c |

hex | 16e47a00 |

384072192 has 320 divisors, whose sum is σ = 1342176000. Its totient is φ = 109734912.

The previous prime is 384072187. The next prime is 384072217. The reversal of 384072192 is 291270483.

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.

384072192 is a *`hidden beast`* number, since 38 + 407 + 219 + 2 = 666.

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=504.

It is a super-2 number, since 2×384072192^{2} = 295022897335369728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54867453 + ... + 54867459.

It is an arithmetic number, because the mean of its divisors is an integer number (4194300).

Almost surely, 2^{384072192} is an apocalyptic number.

384072192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384072192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671088000).

384072192 is an abundant number, since it is smaller than the sum of its proper divisors (958103808).

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

384072192 is an frugal number, since it uses more digits than its factorization.

384072192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 384072192 is about 19597.7598719854. The cubic root of 384072192 is about 726.8937834349.

Multiplying 384072192 by its product of nonzero digits (24192), we get a square (9291474468864 = 3048192^{2}).

384072192 divided by its product of nonzero digits (24192) gives a square (15876 = 126^{2}).

The spelling of 384072192 in words is "three hundred eighty-four million, seventy-two thousand, one hundred ninety-two".

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