Search a number
-
+
204248304 = 243713449
BaseRepresentation
bin11000010110010…
…01010011110000
3112020022220000000
430023021103300
5404241421204
632133430000
75030040051
oct1413112360
9466286000
10204248304
11a5324857
125849b300
1333413bb0
141d1aa728
1512de8039
hexc2c94f0

204248304 has 160 divisors (see below), whose sum is σ = 640584000. Its totient is φ = 62705664.

The previous prime is 204248299. The next prime is 204248311. The reversal of 204248304 is 403842402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454672 + ... + 455120.

It is an arithmetic number, because the mean of its divisors is an integer number (4003650).

Almost surely, 2204248304 is an apocalyptic number.

204248304 is a gapful number since it is divisible by the number (24) 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 204248304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320292000).

204248304 is an abundant number, since it is smaller than the sum of its proper divisors (436335696).

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

204248304 is an equidigital number, since it uses as much as digits as its factorization.

204248304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 204248304 is about 14291.5465923041. The cubic root of 204248304 is about 588.9152759243.

The spelling of 204248304 in words is "two hundred four million, two hundred forty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 449 468 486 624 648 702 729 898 936 972 1053 1296 1347 1404 1458 1796 1872 1944 2106 2187 2694 2808 2916 3159 3592 3888 4041 4212 4374 5388 5616 5832 5837 6318 7184 8082 8424 8748 9477 10776 11664 11674 12123 12636 16164 16848 17496 17511 18954 21552 23348 24246 25272 28431 32328 34992 35022 36369 37908 46696 48492 50544 52533 56862 64656 70044 72738 75816 93392 96984 105066 109107 113724 140088 145476 151632 157599 193968 210132 218214 227448 280176 290952 315198 327321 420264 436428 454896 472797 581904 630396 654642 840528 872856 945594 981963 1260792 1309284 1418391 1745712 1891188 1963926 2521584 2618568 2836782 3782376 3927852 4255173 5237136 5673564 7564752 7855704 8510346 11347128 12765519 15711408 17020692 22694256 25531038 34041384 51062076 68082768 102124152 204248304