Search a number
-
+
404224300 = 225217271197
BaseRepresentation
bin11000000101111…
…111100100101100
31001011121201111101
4120011333210230
51311440134200
6104035532444
713005564334
oct3005774454
91034551441
10404224300
111981a0777
12b345a124
136599029c
143b9840c4
152574a26a
hex1817f92c

404224300 has 108 divisors (see below), whose sum is σ = 949720464. Its totient is φ = 149273600.

The previous prime is 404224291. The next prime is 404224309. The reversal of 404224300 is 3422404.

It is an interprime number because it is at equal distance from previous prime (404224291) and next prime (404224309).

It is not an unprimeable number, because it can be changed into a prime (404224309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2051802 + ... + 2051998.

It is an arithmetic number, because the mean of its divisors is an integer number (8793708).

Almost surely, 2404224300 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 404224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474860232).

404224300 is an abundant number, since it is smaller than the sum of its proper divisors (545496164).

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

404224300 is a wasteful number, since it uses less digits than its factorization.

404224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 404224300 is about 20105.3301390452. The cubic root of 404224300 is about 739.3909646789.

Adding to 404224300 its reverse (3422404), we get a palindrome (407646704).

The spelling of 404224300 in words is "four hundred four million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 71 85 100 142 170 197 284 289 340 355 394 425 578 710 788 850 985 1156 1207 1420 1445 1700 1775 1970 2414 2890 3349 3550 3940 4828 4925 5780 6035 6698 7100 7225 9850 12070 13396 13987 14450 16745 19700 20519 24140 27974 28900 30175 33490 41038 55948 56933 60350 66980 69935 82076 83725 102595 113866 120700 139870 167450 205190 227732 237779 279740 284665 334900 349675 410380 475558 512975 569330 699350 951116 1025950 1138660 1188895 1398700 1423325 2051900 2377790 2846650 4042243 4755580 5693300 5944475 8084486 11888950 16168972 20211215 23777900 40422430 80844860 101056075 202112150 404224300