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

bin | 1110110101011010010000 |

3 | 21022120102001 |

4 | 32311122100 |

5 | 1443420114 |

6 | 215203344 |

7 | 45024364 |

oct | 16653220 |

9 | 7276361 |

10 | 3888784 |

11 | 2216779 |

12 | 1376554 |

13 | a62073 |

14 | 7332a4 |

15 | 51c374 |

hex | 3b5690 |

3888784 has 45 divisors (see below), whose sum is σ = 8289307. Its totient is φ = 1766912.

The previous prime is 3888763. The next prime is 3888823. The reversal of 3888784 is 4878883.

The square root of 3888784 is 1972.

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

3888784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 384400 + 3504384 = 620^2 + 1872^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (344064) is a multiple of the sum of its prime divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 134082 + ... + 134110.

Almost surely, 2^{3888784} is an apocalyptic number.

3888784 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3888784 is the 1972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3888784

3888784 is an abundant number, since it is smaller than the sum of its proper divisors (4400523).

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

3888784 is a wasteful number, since it uses less digits than its factorization.

3888784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 48 counting only the distinct ones).

The product of its digits is 344064, while the sum is 46.

The cubic root of 3888784 is about 157.2550521873.

Subtracting 3888784 from its reverse (4878883), we obtain a palindrome (990099).

The spelling of 3888784 in words is "three million, eight hundred eighty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 289 464 493 578 841 986 1156 1682 1972 2312 3364 3944 4624 6728 7888 8381 13456 14297 16762 28594 33524 57188 67048 114376 134096 228752 243049 486098 972196 1944392 3888784

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