Search a number
-
+
404098398 = 2321117271443
BaseRepresentation
bin11000000101100…
…000110101011110
31001011101022210100
4120011200311132
51311422122043
6104033121530
713004531304
oct3005406536
91034338710
10404098398
11198115120
12b33b92a6
1365947ba2
143b950274
1525722cd3
hex18160d5e

404098398 has 96 divisors (see below), whose sum is σ = 1017349632. Its totient is φ = 114566400.

The previous prime is 404098397. The next prime is 404098421. The reversal of 404098398 is 893890404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404098397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 911965 + ... + 912407.

It is an arithmetic number, because the mean of its divisors is an integer number (10597392).

Almost surely, 2404098398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404098398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508674816).

404098398 is an abundant number, since it is smaller than the sum of its proper divisors (613251234).

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

404098398 is a wasteful number, since it uses less digits than its factorization.

404098398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 404098398 is about 20102.1988349534. The cubic root of 404098398 is about 739.3141917357.

It can be divided in two parts, 404098 and 398, that added together give a square (404496 = 6362).

The spelling of 404098398 in words is "four hundred four million, ninety-eight thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 271 306 374 443 542 561 813 886 1122 1329 1626 1683 2439 2658 2981 3366 3987 4607 4873 4878 5962 7531 7974 8943 9214 9746 13821 14619 15062 17886 22593 26829 27642 29238 41463 43857 45186 50677 53658 67779 82841 82926 87714 101354 120053 135558 152031 165682 240106 248523 304062 360159 456093 497046 720318 745569 912186 1080477 1320583 1491138 2040901 2160954 2641166 3961749 4081802 6122703 7923498 11885247 12245406 18368109 22449911 23770494 36736218 44899822 67349733 134699466 202049199 404098398