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

bin | 1001100110101100001 |

3 | 120222201100 |

4 | 1030311201 |

5 | 40032341 |

6 | 10425013 |

7 | 2450361 |

oct | 1146541 |

9 | 528640 |

10 | 314721 |

11 | 1a5500 |

12 | 132169 |

13 | b0334 |

14 | 829a1 |

15 | 633b6 |

hex | 4cd61 |

314721 has 27 divisors (see below), whose sum is σ = 530803. Its totient is φ = 179520.

The previous prime is 314719. The next prime is 314723. The reversal of 314721 is 127413.

314721 = 1^{3} + 2^{3} + ... + 33^{3}.

The square root of 314721 is 561.

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

314721 is digitally balanced in base 7, 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 (314719) and next prime (314723).

It can be written as a sum of positive squares in only one way, i.e., 245025 + 69696 = 495^2 + 264^2 .

It is not a de Polignac number, because 314721 - 2^{1} = 314719 is a prime.

It is a Duffinian number.

314721 is strictly pandigital in base 7.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 314694 and 314703.

It is not an unprimeable number, because it can be changed into a prime (314723) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18505 + ... + 18521.

314721 is a Friedman number, since it can be written as (17*(34-1))^2, using all its digits and the basic arithmetic operations.

2^{314721} is an apocalyptic number.

314721 is the 561-st square number.

314721 is the 281-st centered octagonal number.

It is an amenable number.

314721 is a deficient number, since it is larger than the sum of its proper divisors (216082).

314721 is a wasteful number, since it uses less digits than its factorization.

314721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 31 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The cubic root of 314721 is about 68.0208269538.

It can be divided in two parts, 314 and 721, that added together give a triangular number (1035 = T_{45}).

The spelling of 314721 in words is "three hundred fourteen thousand, seven hundred twenty-one", and thus it is an iban number.

Divisors: 1 3 9 11 17 33 51 99 121 153 187 289 363 561 867 1089 1683 2057 2601 3179 6171 9537 18513 28611 34969 104907 314721

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