Search a number
-
+
204323028 = 223713237389
BaseRepresentation
bin11000010110110…
…11100011010100
3112020110200111120
430023123203110
5404301314103
632135203540
75030500650
oct1413334324
9466420446
10204323028
11a5375a08
12585165b0
133343bc00
141d1c9a60
1512e10253
hexc2db8d4

204323028 has 144 divisors (see below), whose sum is σ = 607501440. Its totient is φ = 52296192.

The previous prime is 204323011. The next prime is 204323039. The reversal of 204323028 is 820323402.

204323028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204322989 and 204323007.

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, 525058 + ... + 525446.

It is an arithmetic number, because the mean of its divisors is an integer number (4218760).

Almost surely, 2204323028 is an apocalyptic number.

204323028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204323028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303750720).

204323028 is an abundant number, since it is smaller than the sum of its proper divisors (403178412).

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

204323028 is a wasteful number, since it uses less digits than its factorization.

204323028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 204323028 is about 14294.1606259339. The cubic root of 204323028 is about 588.9870851532.

The spelling of 204323028 in words is "two hundred four million, three hundred twenty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 169 182 222 259 273 338 364 389 444 481 507 518 546 676 777 778 962 1014 1036 1092 1167 1183 1443 1554 1556 1924 2028 2334 2366 2723 2886 3108 3367 3549 4668 4732 5057 5446 5772 6253 6734 7098 8169 10101 10114 10892 12506 13468 14196 14393 15171 16338 18759 20202 20228 25012 28786 30342 32676 35399 37518 40404 43179 43771 57572 60684 65741 70798 75036 86358 87542 100751 106197 131313 131482 141596 172716 175084 187109 197223 201502 212394 262626 262964 302253 374218 394446 403004 424788 460187 525252 561327 604506 748436 788892 920374 1122654 1209012 1309763 1380561 1840748 2245308 2432417 2619526 2761122 3929289 4864834 5239052 5522244 7297251 7858578 9729668 14594502 15717156 17026919 29189004 34053838 51080757 68107676 102161514 204323028