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

bin | 1000110100110011100001 |

3 | 11100112110000 |

4 | 20310303201 |

5 | 1043012231 |

6 | 121330213 |

7 | 25443504 |

oct | 10646341 |

9 | 4315400 |

10 | 2313441 |

11 | 1340139 |

12 | 936969 |

13 | 630000 |

14 | 44313b |

15 | 30a6e6 |

hex | 234ce1 |

2313441 has 25 divisors (see below), whose sum is σ = 3743861. Its totient is φ = 1423656.

The previous prime is 2313439. The next prime is 2313461. The reversal of 2313441 is 1443132.

The square root of 2313441 is 1521.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1147041 + 1166400 = 1071^2 + 1080^2 .

It is not a de Polignac number, because 2313441 - 2^{1} = 2313439 is a prime.

It is a Duffinian number.

Its product of digits (288) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2313401) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 177951 + ... + 177963.

2^{2313441} is an apocalyptic number.

2313441 is the 1521-st square number.

2313441 is the 761-st centered octagonal number.

It is an amenable number.

2313441 is a deficient number, since it is larger than the sum of its proper divisors (1430420).

2313441 is an frugal number, since it uses more digits than its factorization.

2313441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 16 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The cubic root of 2313441 is about 132.2572462776.

Adding to 2313441 its reverse (1443132), we get a palindrome (3756573).

The spelling of 2313441 in words is "two million, three hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 2197 4563 6591 13689 19773 28561 59319 85683 177957 257049 771147 2313441

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