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

bin | 1010111110000000000 |

3 | 200021001000 |

4 | 1113300000 |

5 | 43000144 |

6 | 11412000 |

7 | 3024612 |

oct | 1276000 |

9 | 607030 |

10 | 359424 |

11 | 22604a |

12 | 154000 |

13 | c77a0 |

14 | 94db2 |

15 | 71769 |

hex | 57c00 |

359424 has 88 divisors (see below), whose sum is σ = 1146320. Its totient is φ = 110592.

The previous prime is 359419. The next prime is 359441. The reversal of 359424 is 424953.

It is a super-2 number, since 2×359424^{2} = 258371223552, which contains 22 as substring.

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

Its product of digits (4320) is a multiple of the sum of its prime divisors (18).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27642 + ... + 27654.

359424 is a Friedman number, since it can be written as 9*4^5*(42-3), using all its digits and the basic arithmetic operations.

2^{359424} 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 359424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573160).

359424 is an abundant number, since it is smaller than the sum of its proper divisors (786896).

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

359424 is a wasteful number, since it uses less digits than its factorization.

359424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 18 counting only the distinct ones).

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

The square root of 359424 is about 599.5198078462. The cubic root of 359424 is about 71.0999056418.

The spelling of 359424 in words is "three hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1024 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3072 3328 3456 3744 4608 4992 5616 6656 6912 7488 9216 9984 11232 13312 13824 14976 19968 22464 27648 29952 39936 44928 59904 89856 119808 179712 359424

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