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

bin | 1011011100011011000000 |

3 | 12122102020010 |

4 | 23130123000 |

5 | 1232000000 |

6 | 144144520 |

7 | 34333233 |

oct | 13343300 |

9 | 5572203 |

10 | 3000000 |

11 | 1769a43 |

12 | 1008140 |

13 | 810663 |

14 | 58141a |

15 | 3e3d50 |

hex | 2dc6c0 |

3000000 has 98 divisors (see below), whose sum is σ = 9921748. Its totient is φ = 800000.

The previous prime is 2999999. The next prime is 3000017. The reversal of 3000000 is 3.

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=100.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 599998 + ... + 600002.

Almost surely, 2^{3000000} is an apocalyptic number.

3000000 is a gapful number since it is divisible by the number (30) 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 3000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960874).

3000000 is an abundant number, since it is smaller than the sum of its proper divisors (6921748).

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

3000000 is an frugal number, since it uses more digits than its factorization.

3000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 3.

The square root of 3000000 is about 1732.0508075689. The cubic root of 3000000 is about 144.2249570307.

The spelling of 3000000 in words is "three million", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3125 3750 4000 4800 5000 6000 6250 7500 8000 9375 10000 12000 12500 15000 15625 18750 20000 24000 25000 30000 31250 37500 40000 46875 50000 60000 62500 75000 93750 100000 120000 125000 150000 187500 200000 250000 300000 375000 500000 600000 750000 1000000 1500000 3000000

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