Search a number
-
+
304212300 = 223527314673
BaseRepresentation
bin10010001000011…
…110100101001100
3210012102120211020
4102020132211030
51110334243200
650104154140
710352522220
oct2210364514
9705376736
10304212300
111467a1227
1285a68950
134b0441a2
142c58c780
151ba91ea0
hex1221e94c

304212300 has 144 divisors (see below), whose sum is σ = 1038600192. Its totient is φ = 67276800.

The previous prime is 304212289. The next prime is 304212323. The reversal of 304212300 is 3212403.

304212300 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 304212300.

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, 62764 + ... + 67436.

Almost surely, 2304212300 is an apocalyptic number.

304212300 is a gapful number since it is divisible by the number (30) 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 304212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519300096).

304212300 is an abundant number, since it is smaller than the sum of its proper divisors (734387892).

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

304212300 is a wasteful number, since it uses less digits than its factorization.

304212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 304212300 is about 17441.6828316536. The cubic root of 304212300 is about 672.5515684856.

Adding to 304212300 its reverse (3212403), we get a palindrome (307424703).

The spelling of 304212300 in words is "three hundred four million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 465 525 620 651 700 775 868 930 1050 1085 1302 1550 1860 2100 2170 2325 2604 3100 3255 4340 4650 4673 5425 6510 9300 9346 10850 13020 14019 16275 18692 21700 23365 28038 32550 32711 46730 56076 65100 65422 70095 93460 98133 116825 130844 140190 144863 163555 196266 233650 280380 289726 327110 350475 392532 434589 467300 490665 579452 654220 700950 724315 817775 869178 981330 1014041 1401900 1448630 1635550 1738356 1962660 2028082 2172945 2453325 2897260 3042123 3271100 3621575 4056164 4345890 4906650 5070205 6084246 7243150 8691780 9813300 10140410 10864725 12168492 14486300 15210615 20280820 21729450 25351025 30421230 43458900 50702050 60842460 76053075 101404100 152106150 304212300