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

bin | 100110001000… |

… | …111110100100 |

3 | 200210222000100 |

4 | 212020332210 |

5 | 10024420434 |

6 | 554144100 |

7 | 150661254 |

oct | 46107644 |

9 | 20728010 |

10 | 9998244 |

11 | 5709913 |

12 | 3422030 |

13 | 20c0b29 |

14 | 1483964 |

15 | d27699 |

hex | 988fa4 |

9998244 has 81 divisors (see below), whose sum is σ = 27741441. Its totient is φ = 3035520.

The previous prime is 9998239. The next prime is 9998249. The reversal of 9998244 is 4428999.

Multipling 9998244 by its product of digits (186624), we get a square (1865912288256 = 1365984^{2}).

The square root of 9998244 is 3162.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (9998239) and next prime (9998249).

It can be written as a sum of positive squares in only one way, i.e., 7784100 + 2214144 = 2790^2 + 1488^2 .

It is a self number, because there is not a number *n* which added to its sum of digits gives 9998244.

It is not an unprimeable number, because it can be changed into a prime (9998249) 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 26 ways as a sum of consecutive naturals, for example, 322509 + ... + 322539.

Almost surely, 2^{9998244} is an apocalyptic number.

9998244 is the 3162-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9998244

9998244 is an abundant number, since it is smaller than the sum of its proper divisors (17743197).

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

9998244 is a wasteful number, since it uses less digits than its factorization.

9998244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The cubic root of 9998244 is about 215.4308576406.

The spelling of 9998244 in words is "nine million, nine hundred ninety-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 289 306 372 527 558 578 612 867 961 1054 1116 1156 1581 1734 1922 2108 2601 2883 3162 3468 3844 4743 5202 5766 6324 8649 8959 9486 10404 11532 16337 17298 17918 18972 26877 32674 34596 35836 49011 53754 65348 80631 98022 107508 147033 161262 196044 277729 294066 322524 555458 588132 833187 1110916 1666374 2499561 3332748 4999122 9998244

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