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

bin | 1010011111110101100 |

3 | 122110212000 |

4 | 1103332230 |

5 | 42001410 |

6 | 11212300 |

7 | 2631600 |

oct | 1237654 |

9 | 573760 |

10 | 343980 |

11 | 21548a |

12 | 147090 |

13 | c0750 |

14 | 8d500 |

15 | 6bdc0 |

hex | 53fac |

343980 has 144 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 72576.

The previous prime is 343963. The next prime is 343997. The reversal of 343980 is 89343.

343980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (343963) and next prime (343997).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 343980.

It is an unprimeable number.

343980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26454 + ... + 26466.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

2^{343980} is an apocalyptic number.

343980 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 343980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

343980 is an abundant number, since it is smaller than the sum of its proper divisors (996660).

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

343980 is a wasteful number, since it uses less digits than its factorization.

343980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 343980 is about 586.4980818383. The cubic root of 343980 is about 70.0666032752.

The spelling of 343980 in words is "three hundred forty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 27 28 30 35 36 39 42 45 49 52 54 60 63 65 70 78 84 90 91 98 105 108 117 126 130 135 140 147 156 180 182 189 195 196 210 234 245 252 260 270 273 294 315 351 364 378 390 420 441 455 468 490 540 546 585 588 630 637 702 735 756 780 819 882 910 945 980 1092 1170 1260 1274 1323 1365 1404 1470 1638 1755 1764 1820 1890 1911 2205 2340 2457 2548 2646 2730 2940 3185 3276 3510 3780 3822 4095 4410 4914 5292 5460 5733 6370 6615 7020 7644 8190 8820 9555 9828 11466 12285 12740 13230 16380 17199 19110 22932 24570 26460 28665 34398 38220 49140 57330 68796 85995 114660 171990 343980

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