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

bin | 1001100111000110000 |

3 | 121000000000 |

4 | 1030320300 |

5 | 40034203 |

6 | 10430000 |

7 | 2451105 |

oct | 1147060 |

9 | 530000 |

10 | 314928 |

11 | 1a5679 |

12 | 132300 |

13 | b0463 |

14 | 82aac |

15 | 634a3 |

hex | 4ce30 |

314928 has 50 divisors (see below), whose sum is σ = 915244. Its totient is φ = 104976.

The previous prime is 314927. The next prime is 314933. The reversal of 314928 is 829413.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (314927) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 104975 + 104976 + 104977.

314928 is a Friedman number, since it can be written as 9^4*8*(3+2+1), using all its digits and the basic arithmetic operations.

2^{314928} 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 314928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457622).

314928 is an abundant number, since it is smaller than the sum of its proper divisors (600316).

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

314928 is an frugal number, since it uses more digits than its factorization.

314928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 5 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 314928 is about 561.1844616523. The cubic root of 314928 is about 68.0357366943.

Multiplying 314928 by its sum of digits (27), we get a 4-th power (8503056 = 54^{4}).

314928 divided by its sum of digits (27) gives a square (11664 = 108^{2}).

Multiplying 314928 by its product of digits (1728), we get a square (544195584 = 23328^{2}).

The spelling of 314928 in words is "three hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6561 8748 11664 13122 17496 19683 26244 34992 39366 52488 78732 104976 157464 314928

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