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

bin | 1001110001000000000 |

3 | 121020221212 |

4 | 1032020000 |

5 | 40220000 |

6 | 10505252 |

7 | 2501642 |

oct | 1161000 |

9 | 536855 |

10 | 320000 |

11 | 1a946a |

12 | 135228 |

13 | b2865 |

14 | 84892 |

15 | 64c35 |

hex | 4e200 |

320000 has 50 divisors (see below), whose sum is σ = 798963. Its totient is φ = 128000.

The previous prime is 319993. The next prime is 320009. The reversal of 320000 is 23.

It is a happy number.

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.

It can be written as a sum of positive squares in 3 ways, for example, as 73984 + 246016 = 272^2 + 496^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=400.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a Duffinian number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (320009) by changing a digit.

320000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 63998 + ... + 64002.

2^{320000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320000

320000 is an abundant number, since it is smaller than the sum of its proper divisors (478963).

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

320000 is an frugal number, since it uses more digits than its factorization.

320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 5.

The square root of 320000 is about 565.6854249492. The cubic root of 320000 is about 68.3990378671.

Adding to 320000 its reverse (23), we get a palindrome (320023).

The spelling of 320000 in words is "three hundred twenty thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 64000 80000 160000 320000

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