Search a number
-
+
304018000 = 245311131063
BaseRepresentation
bin10010000111101…
…111001001010000
3210012001201021221
4102013233021100
51110312034000
650100054424
710351052566
oct2207571120
9705051257
10304018000
11146679250
1285994414
134aca6910
142c53ba36
151ba5461a
hex121ef250

304018000 has 160 divisors (see below), whose sum is σ = 864444672. Its totient is φ = 101952000.

The previous prime is 304017997. The next prime is 304018007. The reversal of 304018000 is 810403.

304018000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304018007) 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 31 ways as a sum of consecutive naturals, for example, 285469 + ... + 286531.

Almost surely, 2304018000 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 304018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432222336).

304018000 is an abundant number, since it is smaller than the sum of its proper divisors (560426672).

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

304018000 is a wasteful number, since it uses less digits than its factorization.

304018000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 304018000 is about 17436.1119519232. Note that the first 3 decimals coincide. The cubic root of 304018000 is about 672.4083520534.

Adding to 304018000 its reverse (810403), we get a palindrome (304828403).

The spelling of 304018000 in words is "three hundred four million, eighteen thousand".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 125 130 143 176 200 208 220 250 260 275 286 325 400 440 500 520 550 572 650 715 880 1000 1040 1063 1100 1144 1300 1375 1430 1625 2000 2126 2200 2288 2600 2750 2860 3250 3575 4252 4400 5200 5315 5500 5720 6500 7150 8504 10630 11000 11440 11693 13000 13819 14300 17008 17875 21260 22000 23386 26000 26575 27638 28600 35750 42520 46772 53150 55276 57200 58465 69095 71500 85040 93544 106300 110552 116930 132875 138190 143000 152009 187088 212600 221104 233860 265750 276380 286000 292325 304018 345475 425200 467720 531500 552760 584650 608036 690950 760045 935440 1063000 1105520 1169300 1216072 1381900 1461625 1520090 1727375 2126000 2338600 2432144 2763800 2923250 3040180 3454750 3800225 4677200 5527600 5846500 6080360 6909500 7600450 11693000 12160720 13819000 15200900 19001125 23386000 27638000 30401800 38002250 60803600 76004500 152009000 304018000