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

bin | 1011001101100111000000 |

3 | 12112100000000 |

4 | 23031213000 |

5 | 1223024303 |

6 | 143000000 |

7 | 33661320 |

oct | 13154700 |

9 | 5470000 |

10 | 2939328 |

11 | 17283a7 |

12 | b99000 |

13 | 7bbb62 |

14 | 567280 |

15 | 3d0da3 |

hex | 2cd9c0 |

2939328 has 126 divisors (see below), whose sum is σ = 9998456. Its totient is φ = 839808.

The previous prime is 2939297. The next prime is 2939347. The reversal of 2939328 is 8239392.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (23328) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2939292 and 2939301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419901 + ... + 419907.

2^{2939328} is an apocalyptic number.

2939328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2939328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999228).

2939328 is an abundant number, since it is smaller than the sum of its proper divisors (7059128).

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

2939328 is an frugal number, since it uses more digits than its factorization.

2939328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 12 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2939328 is about 1714.4468495699. The cubic root of 2939328 is about 143.2460594843.

The spelling of 2939328 in words is "two million, nine hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 243 252 288 324 336 378 432 448 486 504 567 576 648 672 729 756 864 972 1008 1134 1296 1344 1458 1512 1701 1728 1944 2016 2187 2268 2592 2916 3024 3402 3888 4032 4374 4536 5103 5184 5832 6048 6561 6804 7776 8748 9072 10206 11664 12096 13122 13608 15309 15552 17496 18144 20412 23328 26244 27216 30618 34992 36288 40824 45927 46656 52488 54432 61236 69984 81648 91854 104976 108864 122472 139968 163296 183708 209952 244944 326592 367416 419904 489888 734832 979776 1469664 2939328

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