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

bin | 10101010101010… |

… | …101010101010101 |

3 | 220221110220121220 |

4 | 111111111111111 |

5 | 1213111221231 |

6 | 55303200553 |

7 | 11604134610 |

oct | 2525252525 |

9 | 827426556 |

10 | 357913941 |

11 | 174040050 |

12 | 9ba46159 |

13 | 591c73c8 |

14 | 3576b177 |

15 | 2164d896 |

hex | 15555555 |

357913941 has 64 divisors (see below), whose sum is σ = 620101632. Its totient is φ = 178200000.

The previous prime is 357913931. The next prime is 357913951. The reversal of 357913941 is 149319753.

357913941 is nontrivially palindromic in base 2 and base 4.

357913941 is an esthetic number in base 2, because in such base it adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (357913931) and next prime (357913951).

It is not a de Polignac number, because 357913941 - 2^{5} = 357913909 is a prime.

It is the 30-th Jacobsthal number.

357913941 is an undulating number in base 2 and base 8.

It is a Curzon number.

357913941 is a nontrivial repdigit in base 4.

It is a plaindrome in base 4 and base 16.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 357913893 and 357913902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (357913921) by changing a digit.

It is a nontrivial repunit in base 4.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1081146 + ... + 1081476.

It is an arithmetic number, because the mean of its divisors is an integer number (9689088).

Almost surely, 2^{357913941} is an apocalyptic number.

357913941 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

357913941 is the 10923-rd octagonal number.

It is an amenable number.

357913941 is a deficient number, since it is larger than the sum of its proper divisors (262187691).

357913941 is a wasteful number, since it uses less digits than its factorization.

357913941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534.

The product of its digits is 102060, while the sum is 42.

The square root of 357913941 is about 18918.6136119960. The cubic root of 357913941 is about 710.0019447146.

The spelling of 357913941 in words is "three hundred fifty-seven million, nine hundred thirteen thousand, nine hundred forty-one".

Divisors: 1 3 7 11 21 31 33 77 93 151 217 231 331 341 453 651 993 1023 1057 1661 2317 2387 3171 3641 4681 4983 6951 7161 10261 10923 11627 14043 25487 30783 32767 34881 49981 51491 71827 76461 98301 112871 149943 154473 215481 338613 349867 360437 549791 790097 1049601 1081311 1549411 1649373 2370291 3848537 4648233 10845877 11545611 17043521 32537631 51130563 119304647 357913941

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