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

bin | 110001100111000… |

… | …001110111000000 |

3 | 2011000010222021200 |

4 | 301213001313000 |

5 | 3201033033231 |

6 | 214331221200 |

7 | 26424362544 |

oct | 6147016700 |

9 | 2130128250 |

10 | 832314816 |

11 | 397902493 |

12 | 1b28a7800 |

13 | 103588698 |

14 | 7c77ba24 |

15 | 4d10bbe6 |

hex | 319c1dc0 |

832314816 has 84 divisors (see below), whose sum is σ = 2398361472. Its totient is φ = 275963904.

The previous prime is 832314797. The next prime is 832314827. The reversal of 832314816 is 618413238.

It is a super-2 number, since 2×832314816^{2} = 1385495905866227712, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107425 + ... + 114911.

Almost surely, 2^{832314816} 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 832314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199180736).

832314816 is an abundant number, since it is smaller than the sum of its proper divisors (1566046656).

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

832314816 is a wasteful number, since it uses less digits than its factorization.

832314816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7685 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 832314816 is about 28849.8668281155. The cubic root of 832314816 is about 940.6524879787.

The spelling of 832314816 in words is "eight hundred thirty-two million, three hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 193 288 386 576 579 772 1158 1544 1737 2316 3088 3474 4632 6176 6948 7487 9264 12352 13896 14974 18528 22461 27792 29948 37056 44922 55584 59896 67383 89844 111168 119792 134766 179688 239584 269532 359376 479168 539064 718752 1078128 1437504 1444991 2156256 2889982 4312512 4334973 5779964 8669946 11559928 13004919 17339892 23119856 26009838 34679784 46239712 52019676 69359568 92479424 104039352 138719136 208078704 277438272 416157408 832314816

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