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

bin | 10110001000111… |

… | …000101100100000 |

3 | 221212220111121100 |

4 | 112020320230200 |

5 | 1230041200003 |

6 | 100504554400 |

7 | 12130041561 |

oct | 2610705440 |

9 | 855814540 |

10 | 371428128 |

11 | 1807304a5 |

12 | a4482a00 |

13 | 5bc49676 |

14 | 37488168 |

15 | 2291cba3 |

hex | 16238b20 |

371428128 has 72 divisors (see below), whose sum is σ = 1074200400. Its totient is φ = 121705344.

The previous prime is 371428097. The next prime is 371428129. The reversal of 371428128 is 821824173.

371428128 is a *`hidden beast`* number, since 371 + 4 + 281 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 371428092 and 371428101.

It is not an unprimeable number, because it can be changed into a prime (371428129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6063 + ... + 27921.

It is an arithmetic number, because the mean of its divisors is an integer number (14919450).

Almost surely, 2^{371428128} 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 371428128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537100200).

371428128 is an abundant number, since it is smaller than the sum of its proper divisors (702772272).

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

371428128 is a wasteful number, since it uses less digits than its factorization.

371428128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21934 (or 21923 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 371428128 is about 19272.4707289958. The cubic root of 371428128 is about 718.8279077944.

The spelling of 371428128 in words is "three hundred seventy-one million, four hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 8496 16992 21859 43718 65577 87436 131154 174872 196731 262308 349744 393462 524616 699488 786924 1049232 1289681 1573848 2098464 2579362 3147696 3869043 5158724 6295392 7738086 10317448 11607129 15476172 20634896 23214258 30952344 41269792 46428516 61904688 92857032 123809376 185714064 371428128

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