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

bin | 1101010010100000000000 |

3 | 20112222200000 |

4 | 31102200000 |

5 | 1342434043 |

6 | 202400000 |

7 | 41416260 |

oct | 15224000 |

9 | 6488600 |

10 | 3483648 |

11 | 1a6a353 |

12 | 1200000 |

13 | 94c83c |

14 | 6697a0 |

15 | 48c2d3 |

hex | 352800 |

3483648 has 144 divisors (see below), whose sum is σ = 11924640. Its totient is φ = 995328.

The previous prime is 3483643. The next prime is 3483659. The reversal of 3483648 is 8463843.

3483648 is a *`hidden beast`* number, since 3 + 4 + 8 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (55296) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (3483643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497661 + ... + 497667.

It is an arithmetic number, because the mean of its divisors is an integer number (82810).

Almost surely, 2^{3483648} is an apocalyptic number.

3483648 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962320).

3483648 is an abundant number, since it is smaller than the sum of its proper divisors (8440992).

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

3483648 is an frugal number, since it uses more digits than its factorization.

3483648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 12 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3483648 is about 1866.4533211415. The cubic root of 3483648 is about 151.5926303438.

The spelling of 3483648 in words is "three million, four hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 256 288 324 336 378 384 432 448 486 504 512 567 576 648 672 756 768 864 896 972 1008 1024 1134 1152 1296 1344 1512 1536 1701 1728 1792 1944 2016 2048 2268 2304 2592 2688 3024 3072 3402 3456 3584 3888 4032 4536 4608 5184 5376 6048 6144 6804 6912 7168 7776 8064 9072 9216 10368 10752 12096 13608 13824 14336 15552 16128 18144 18432 20736 21504 24192 27216 27648 31104 32256 36288 41472 43008 48384 54432 55296 62208 64512 72576 82944 96768 108864 124416 129024 145152 165888 193536 217728 248832 290304 387072 435456 497664 580608 870912 1161216 1741824 3483648

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