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

bin | 1011111000100000000 |

3 | 201210010100 |

4 | 1133010000 |

5 | 44430001 |

6 | 12202400 |

7 | 3211131 |

oct | 1370400 |

9 | 653110 |

10 | 389376 |

11 | 2465a9 |

12 | 169400 |

13 | 108300 |

14 | a1c88 |

15 | 7a586 |

hex | 5f100 |

389376 has 81 divisors (see below), whose sum is σ = 1215669. Its totient is φ = 119808.

The previous prime is 389369. The next prime is 389381. The reversal of 389376 is 673983.

Multipling 389376 by its sum of digits (36), we get a square (14017536 = 3744^{2}).

389376 divided by its sum of digits (36) gives a square (10816 = 104^{2}).

It can be divided in two parts, 3893 and 76, that added together give a square (3969 = 63^{2}).

The square root of 389376 is 624.

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

It can be written as a sum of positive squares in only one way, i.e., 57600 + 331776 = 240^2 + 576^2 .

It is a super-2 number, since 2×389376^{2} = 303227338752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (27216) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 9.

It is a self number, because there is not a number *n* which added to its sum of digits gives 389376.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 389376.

It is an unprimeable number.

389376 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 (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29946 + ... + 29958.

389376 is a Friedman number, since it can be written as ((6^3-8)*3)^(9-7), using all its digits and the basic arithmetic operations.

2^{389376} is an apocalyptic number.

389376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

389376 is the 624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389376

389376 is an abundant number, since it is smaller than the sum of its proper divisors (826293).

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

389376 is a wasteful number, since it uses less digits than its factorization.

389376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 18 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The cubic root of 389376 is about 73.0224488412.

The spelling of 389376 in words is "three hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 256 288 312 338 384 416 468 507 576 624 676 768 832 936 1014 1152 1248 1352 1521 1664 1872 2028 2304 2496 2704 3042 3328 3744 4056 4992 5408 6084 7488 8112 9984 10816 12168 14976 16224 21632 24336 29952 32448 43264 48672 64896 97344 129792 194688 389376

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