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

bin | 100000000000000000… |

… | …000000000000000000 |

3 | 10021200120220120002112 |

4 | 200000000000000000 |

5 | 1030332043111433 |

6 | 23441252234452 |

7 | 2324315646224 |

oct | 400000000000 |

9 | 107616816075 |

10 | 34359738368 |

11 | 136321a3a9a |

12 | 67ab00ba28 |

13 | 331769c447 |

14 | 193d482784 |

15 | d6175d348 |

hex | 800000000 |

34359738368 has 36 divisors (see below), whose sum is σ = 68719476735. Its totient is φ = 17179869184.

The previous prime is 34359738337. The next prime is 34359738421. The reversal of 34359738368 is 86383795343.

It is a perfect power (a 5-th power, a 7-th power, a 35-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)^{35}.

It can be written as a sum of positive squares in only one way, i.e., 17179869184 + 17179869184 = 131072^2 + 131072^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=8, B=16.

It is a super-2 number, since 2×34359738368^{2} (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (39191040) is a multiple of the sum of its prime divisors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is an unprimeable number.

In principle, a polygon with 34359738368 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

Almost surely, 2^{34359738368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34359738368

34359738368 is a deficient number, since it is larger than the sum of its proper divisors (34359738367).

34359738368 is an frugal number, since it uses more digits than its factorization.

34359738368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 2 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 59.

The spelling of 34359738368 in words is "thirty-four billion, three hundred fifty-nine million, seven hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368

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