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

bin | 1010101010100000000 |

3 | 122202100020 |

4 | 1111110000 |

5 | 42140230 |

6 | 11253440 |

7 | 2653530 |

oct | 1252400 |

9 | 582306 |

10 | 349440 |

11 | 2195a3 |

12 | 14a280 |

13 | c3090 |

14 | 914c0 |

15 | 6d810 |

hex | 55500 |

349440 has 144 divisors (see below), whose sum is σ = 1373568. Its totient is φ = 73728.

The previous prime is 349423. The next prime is 349471. The reversal of 349440 is 44943.

Multipling 349440 by its sum of digits (24), we get a triangular number (8386560 = T_{4095}).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 349440.

It is a congruent number.

It is an unprimeable number.

349440 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 15 ways as a sum of consecutive naturals, for example, 26874 + ... + 26886.

2^{349440} is an apocalyptic number.

349440 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 349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686784).

349440 is an abundant number, since it is smaller than the sum of its proper divisors (1024128).

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

349440 is a wasteful number, since it uses less digits than its factorization.

349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 349440 is about 591.1345024612. The cubic root of 349440 is about 70.4353816639.

The spelling of 349440 in words is "three hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 78 80 84 91 96 104 105 112 120 128 130 140 156 160 168 182 192 195 208 210 224 240 256 260 273 280 312 320 336 364 384 390 416 420 448 455 480 520 546 560 624 640 672 728 768 780 832 840 896 910 960 1040 1092 1120 1248 1280 1344 1365 1456 1560 1664 1680 1792 1820 1920 2080 2184 2240 2496 2688 2730 2912 3120 3328 3360 3640 3840 4160 4368 4480 4992 5376 5460 5824 6240 6720 7280 8320 8736 8960 9984 10920 11648 12480 13440 14560 16640 17472 21840 23296 24960 26880 29120 34944 43680 49920 58240 69888 87360 116480 174720 349440

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