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

bin | 1000001100110… |

… | …1111100010100 |

3 | 2101201121010222 |

4 | 2003031330110 |

5 | 32301213342 |

6 | 3225133512 |

7 | 565243430 |

oct | 203157424 |

9 | 71647128 |

10 | 34397972 |

11 | 18464784 |

12 | b62a298 |

13 | 7184a3b |

14 | 47d59c0 |

15 | 3046ed2 |

hex | 20cdf14 |

34397972 has 48 divisors (see below), whose sum is σ = 74145792. Its totient is φ = 13638240.

The previous prime is 34397959. The next prime is 34397977. The reversal of 34397972 is 27979343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34397977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19103 + ... + 20825.

It is an arithmetic number, because the mean of its divisors is an integer number (1544704).

Almost surely, 2^{34397972} 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 34397972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37072896).

34397972 is an abundant number, since it is smaller than the sum of its proper divisors (39747820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34397972 is a wasteful number, since it uses less digits than its factorization.

34397972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1786 counting only the distinct ones).

The product of its digits is 285768, while the sum is 44.

The square root of 34397972 is about 5864.9784313329. The cubic root of 34397972 is about 325.2202751281.

It can be divided in two parts, 3439 and 7972, that added together give a palindrome (11411).

The spelling of 34397972 in words is "thirty-four million, three hundred ninety-seven thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 124 161 217 322 434 644 713 868 1426 1723 2852 3446 4991 6892 9982 12061 19964 24122 39629 48244 53413 79258 106826 158516 213652 277403 373891 554806 747782 1109612 1228499 1495564 2456998 4913996 8599493 17198986 34397972

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