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

bin | 1010101010101010100 |

3 | 122202110100 |

4 | 1111111110 |

5 | 42141044 |

6 | 11254100 |

7 | 2654010 |

oct | 1252524 |

9 | 582410 |

10 | 349524 |

11 | 21966a |

12 | 14a330 |

13 | c3126 |

14 | 91540 |

15 | 6d869 |

hex | 55554 |

349524 has 72 divisors (see below), whose sum is σ = 1077440. Its totient is φ = 93312.

The previous prime is 349519. The next prime is 349529. The reversal of 349524 is 425943.

349524 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 (349519) and next prime (349529).

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349529) by changing a digit.

349524 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 23 ways as a sum of consecutive naturals, for example, 4752 + ... + 4824.

349524 is a Friedman number, since it can be written as (((2^4)^5-4)*3)/9, using all its digits and the basic arithmetic operations.

2^{349524} 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 349524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538720).

349524 is an abundant number, since it is smaller than the sum of its proper divisors (727916).

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

349524 is a wasteful number, since it uses less digits than its factorization.

349524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 104 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 349524 is about 591.2055480119. The cubic root of 349524 is about 70.4410250725.

The spelling of 349524 in words is "three hundred forty-nine thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 73 76 84 114 126 133 146 171 219 228 252 266 292 342 399 438 511 532 657 684 798 876 1022 1197 1314 1387 1533 1596 2044 2394 2628 2774 3066 4161 4599 4788 5548 6132 8322 9198 9709 12483 16644 18396 19418 24966 29127 38836 49932 58254 87381 116508 174762 349524

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