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

bin | 100101110111… |

… | …001011100000 |

3 | 200200021000100 |

4 | 211313023200 |

5 | 10020102334 |

6 | 552422400 |

7 | 150235602 |

oct | 45671340 |

9 | 20607010 |

10 | 9925344 |

11 | 566a070 |

12 | 33a7a00 |

13 | 20968b0 |

14 | 1465172 |

15 | d10c99 |

hex | 9772e0 |

9925344 has 144 divisors (see below), whose sum is σ = 33297264. Its totient is φ = 2764800.

The previous prime is 9925309. The next prime is 9925379. The reversal of 9925344 is 4435299.

9925344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9925309) and next prime (9925379).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×9925344^{3} (a number of 22 digits) contains 333 as substring.

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

Its product of digits (38880) is a multiple of the sum of its prime divisors (270).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 9925299 and 9925308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41064 + ... + 41304.

It is an arithmetic number, because the mean of its divisors is an integer number (231231).

Almost surely, 2^{9925344} 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 9925344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648632).

9925344 is an abundant number, since it is smaller than the sum of its proper divisors (23371920).

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

9925344 is a wasteful number, since it uses less digits than its factorization.

9925344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 9925344 is about 3150.4513962288. The cubic root of 9925344 is about 214.9059909899.

It can be divided in two parts, 992 and 5344, that added together give a palindrome (6336).

The spelling of 9925344 in words is "nine million, nine hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 241 264 286 288 312 352 396 416 429 468 482 528 572 624 723 792 858 936 964 1056 1144 1248 1287 1446 1584 1716 1872 1928 2169 2288 2574 2651 2892 3133 3168 3432 3744 3856 4338 4576 5148 5302 5784 6266 6864 7712 7953 8676 9399 10296 10604 11568 12532 13728 15906 17352 18798 20592 21208 23136 23859 25064 28197 31812 34463 34704 37596 41184 42416 47718 50128 56394 63624 68926 69408 75192 84832 95436 100256 103389 112788 127248 137852 150384 190872 206778 225576 254496 275704 300768 310167 381744 413556 451152 551408 620334 763488 827112 902304 1102816 1240668 1654224 2481336 3308448 4962672 9925344

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