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

bin | 101001110011000… |

… | …001111111100001 |

3 | 1210212111212001100 |

4 | 221303001333201 |

5 | 2414004241421 |

6 | 153330025013 |

7 | 23243320200 |

oct | 5163017741 |

9 | 1725455040 |

10 | 701243361 |

11 | 32a919575 |

12 | 176a18169 |

13 | b2386300 |

14 | 691bd237 |

15 | 4186ac26 |

hex | 29cc1fe1 |

701243361 has 81 divisors (see below), whose sum is σ = 1289177721. Its totient is φ = 366073344.

The previous prime is 701243359. The next prime is 701243363. The reversal of 701243361 is 163342107.

The square root of 701243361 is 26481.

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

It is an interprime number because it is at equal distance from previous prime (701243359) and next prime (701243363).

It can be written as a sum of positive squares in 4 ways, for example, as 128119761 + 573123600 = 11319^2 + 23940^2 .

It is not a de Polignac number, because 701243361 - 2^{1} = 701243359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (701243363) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7229265 + ... + 7229361.

Almost surely, 2^{701243361} is an apocalyptic number.

701243361 is the 26481-st square number.

701243361 is the 13241-st centered octagonal number.

It is an amenable number.

701243361 is a deficient number, since it is larger than the sum of its proper divisors (587934360).

701243361 is a wasteful number, since it uses less digits than its factorization.

701243361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The cubic root of 701243361 is about 888.4293980321.

Adding to 701243361 its reverse (163342107), we get a palindrome (864585468).

The spelling of 701243361 in words is "seven hundred one million, two hundred forty-three thousand, three hundred sixty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 97 117 147 169 273 291 441 507 637 679 819 873 1183 1261 1521 1911 2037 3549 3783 4753 5733 6111 8281 8827 9409 10647 11349 14259 16393 24843 26481 28227 42777 49179 61789 65863 74529 79443 84681 114751 122317 147537 185367 197589 344253 366951 461041 556101 592767 803257 856219 1032759 1100853 1383123 1590121 2409771 2568657 4149369 4770363 5993533 7229313 7705971 11130847 14311089 17980599 33392541 53941797 77915929 100177623 233747787 701243361

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