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9982434 = 23711173141
BaseRepresentation
bin100110000101…
…000111100010
3200210011022210
4212011013202
510023414214
6553542550
7150564210
oct46050742
920704283
109982434
1156a8a50
123414a56
1320b6887
14147bcb0
15d22b59
hex9851e2

9982434 has 128 divisors (see below), whose sum is σ = 27869184. Its totient is φ = 2304000.

The previous prime is 9982433. The next prime is 9982457. The reversal of 9982434 is 4342899.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9982392 and 9982401.

It is not an unprimeable number, because it can be changed into a prime (9982433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243454 + ... + 243494.

It is an arithmetic number, because the mean of its divisors is an integer number (217728).

Almost surely, 29982434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9982434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934592).

9982434 is an abundant number, since it is smaller than the sum of its proper divisors (17886750).

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

9982434 is a wasteful number, since it uses less digits than its factorization.

9982434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

The product of its digits is 62208, while the sum is 39.

The square root of 9982434 is about 3159.4990109193. The cubic root of 9982434 is about 215.3172457338.

The spelling of 9982434 in words is "nine million, nine hundred eighty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 31 33 34 41 42 51 62 66 77 82 93 102 119 123 154 186 187 217 231 238 246 287 341 357 374 434 451 462 527 561 574 651 682 697 714 861 902 1023 1054 1122 1271 1302 1309 1353 1394 1581 1722 2046 2091 2387 2542 2618 2706 3157 3162 3689 3813 3927 4182 4774 4879 5797 6314 7161 7378 7626 7667 7854 8897 9471 9758 11067 11594 13981 14322 14637 15334 17391 17794 18942 21607 22134 23001 26691 27962 29274 34782 40579 41943 43214 46002 53382 53669 64821 81158 83886 97867 107338 121737 129642 151249 161007 195734 237677 243474 293601 302498 322014 453747 475354 587202 713031 907494 1426062 1663739 3327478 4991217 9982434