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

bin | 11110011000000000000 |

3 | 1212120100000 |

4 | 3303000000 |

5 | 223322303 |

6 | 33200000 |

7 | 11313555 |

oct | 3630000 |

9 | 1776300 |

10 | 995328 |

11 | 61a894 |

12 | 400000 |

13 | 28b069 |

14 | 1bca2c |

15 | 149da3 |

hex | f3000 |

995328 has 78 divisors (see below), whose sum is σ = 2981524. Its totient is φ = 331776.

The previous prime is 995327. The next prime is 995329. The reversal of 995328 is 823599.

Multipling 995328 by its sum of digits (36), we get a 7-th power (35831808 = 12^{7}).

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 is a Jordan-Polya number, since it can be written as (4!)^{3} ⋅ (3!)^{2} ⋅ 2!.

It is an interprime number because it is at equal distance from previous prime (995327) and next prime (995329).

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

Its product of digits (19440) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 6, base 12 and base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 995292 and 995301.

It is not an unprimeable number, because it can be changed into a prime (995327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 331775 + 331776 + 331777.

995328 is a Friedman number, since it can be written as (9+9+3*2)^5/8, using all its digits and the basic arithmetic operations.

2^{995328} 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 995328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490762).

995328 is an abundant number, since it is smaller than the sum of its proper divisors (1986196).

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

995328 is an frugal number, since it uses more digits than its factorization.

995328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 5 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 995328 is about 997.6612651597. The cubic root of 995328 is about 99.8440235065.

The spelling of 995328 in words is "nine hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4096 4608 5184 6144 6912 7776 9216 10368 12288 13824 15552 18432 20736 27648 31104 36864 41472 55296 62208 82944 110592 124416 165888 248832 331776 497664 995328

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