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

bin | 1011010011010001001 |

3 | 200210222022 |

4 | 1122122021 |

5 | 43322223 |

6 | 11534225 |

7 | 3101426 |

oct | 1323211 |

9 | 623868 |

10 | 370313 |

11 | 233249 |

12 | 15a375 |

13 | cc728 |

14 | 98d4d |

15 | 74ac8 |

hex | 5a689 |

370313 has 4 divisors (see below), whose sum is σ = 378240. Its totient is φ = 362388.

The previous prime is 370261. The next prime is 370373. The reversal of 370313 is 313073.

Adding to 370313 its reverse (313073), we get a palindrome (683386).

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 313073 = 337 ⋅929.

It is a cyclic number.

It is not a de Polignac number, because 370313 - 2^{8} = 370057 is a prime.

It is a lonely number, since its distance to closest prime (370261) sets a new record.

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 370291 and 370300.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 370313.

It is not an unprimeable number, because it can be changed into a prime (370373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3893 + ... + 3986.

It is an arithmetic number, because the mean of its divisors is an integer number (94560).

2^{370313} is an apocalyptic number.

It is an amenable number.

370313 is a deficient number, since it is larger than the sum of its proper divisors (7927).

370313 is an equidigital number, since it uses as much as digits as its factorization.

370313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926.

The product of its (nonzero) digits is 189, while the sum is 17.

The square root of 370313 is about 608.5334830558. The cubic root of 370313 is about 71.8107814548.

The spelling of 370313 in words is "three hundred seventy thousand, three hundred thirteen".

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