Search a number
-
+
404028300 = 22352133613
BaseRepresentation
bin11000000101001…
…111101110001100
31001011020202122010
4120011033232030
51311412401200
6104031421220
713004120034
oct3005175614
91034222563
10404028300
11198077495
12b3384810
1365922000
143b9328c4
152570c150
hex1814fb8c

404028300 has 144 divisors (see below), whose sum is σ = 1268425760. Its totient is φ = 99290880.

The previous prime is 404028299. The next prime is 404028329. The reversal of 404028300 is 3820404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658794 + ... + 659406.

Almost surely, 2404028300 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 404028300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634212880).

404028300 is an abundant number, since it is smaller than the sum of its proper divisors (864397460).

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

404028300 is a wasteful number, since it uses less digits than its factorization.

404028300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 404028300 is about 20100.4552187258. The cubic root of 404028300 is about 739.2714402314.

Adding to 404028300 its reverse (3820404), we get a palindrome (407848704).

The spelling of 404028300 in words is "four hundred four million, twenty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 507 613 650 676 780 845 975 1014 1226 1300 1690 1839 1950 2028 2197 2452 2535 3065 3380 3678 3900 4225 4394 5070 6130 6591 7356 7969 8450 8788 9195 10140 10985 12260 12675 13182 15325 15938 16900 18390 21970 23907 25350 26364 30650 31876 32955 36780 39845 43940 45975 47814 50700 54925 61300 65910 79690 91950 95628 103597 109850 119535 131820 159380 164775 183900 199225 207194 219700 239070 310791 329550 398450 414388 478140 517985 597675 621582 659100 796900 1035970 1195350 1243164 1346761 1553955 2071940 2390700 2589925 2693522 3107910 4040283 5179850 5387044 6215820 6733805 7769775 8080566 10359700 13467610 15539550 16161132 20201415 26935220 31079100 33669025 40402830 67338050 80805660 101007075 134676100 202014150 404028300