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

bin | 1010011101111011000 |

3 | 122102111201 |

4 | 1103233120 |

5 | 41434000 |

6 | 11203544 |

7 | 2626000 |

oct | 1235730 |

9 | 572451 |

10 | 343000 |

11 | 214779 |

12 | 1465b4 |

13 | c0178 |

14 | 8d000 |

15 | 6b96a |

hex | 53bd8 |

343000 has 64 divisors (see below), whose sum is σ = 936000. Its totient is φ = 117600.

The previous prime is 342989. The next prime is 343019. The reversal of 343000 is 343.

Adding to 343000 its reverse (343), we get a palindrome (343343).

Multipling 343000 by its reverse (343), we get a cube (117649000 = 490^{3}).

343000 divided by its reverse (343) gives a cube (1000 = 10^{3}).

343000 = 15^{3} + 16^{3} + ... + 34^{3}.

The cubic root of 343000 is 70.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

343000 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48997 + ... + 49003.

It is an arithmetic number, because the mean of its divisors is an integer number (14625).

343000 is a Friedman number, since it can be written as (40+30)^(3+0), using all its digits and the basic arithmetic operations.

2^{343000} 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 343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468000).

343000 is an abundant number, since it is smaller than the sum of its proper divisors (593000).

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

343000 is an equidigital number, since it uses as much as digits as its factorization.

343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 343000 is about 585.6620185739.

The spelling of 343000 in words is "three hundred forty-three thousand", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 343 350 392 490 500 686 700 875 980 1000 1225 1372 1400 1715 1750 1960 2450 2744 3430 3500 4900 6125 6860 7000 8575 9800 12250 13720 17150 24500 34300 42875 49000 68600 85750 171500 343000

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