Search a number
-
+
304373100 = 2235217371613
BaseRepresentation
bin10010001001000…
…101110101101100
3210012201202101210
4102021011311230
51110404414400
650111434420
710354062063
oct2211056554
9705652353
10304373100
111468a1019
1285b25a10
134b09c435
142c5d11da
151bac4950
hex12245d6c

304373100 has 144 divisors (see below), whose sum is σ = 958251168. Its totient is φ = 74280960.

The previous prime is 304373051. The next prime is 304373101. The reversal of 304373100 is 1373403.

304373100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3043731002 = 185285968007220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (304373101) 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 47 ways as a sum of consecutive naturals, for example, 187894 + ... + 189506.

It is an arithmetic number, because the mean of its divisors is an integer number (6654522).

Almost surely, 2304373100 is an apocalyptic number.

304373100 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 304373100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479125584).

304373100 is an abundant number, since it is smaller than the sum of its proper divisors (653878068).

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

304373100 is a wasteful number, since it uses less digits than its factorization.

304373100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 304373100 is about 17446.2918696209. The cubic root of 304373100 is about 672.6700463197.

The spelling of 304373100 in words is "three hundred four million, three hundred seventy-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 37 50 51 60 68 74 75 85 100 102 111 148 150 170 185 204 222 255 300 340 370 425 444 510 555 629 740 850 925 1020 1110 1258 1275 1613 1700 1850 1887 2220 2516 2550 2775 3145 3226 3700 3774 4839 5100 5550 6290 6452 7548 8065 9435 9678 11100 12580 15725 16130 18870 19356 24195 27421 31450 32260 37740 40325 47175 48390 54842 59681 62900 80650 82263 94350 96780 109684 119362 120975 137105 161300 164526 179043 188700 238724 241950 274210 298405 329052 358086 411315 483900 548420 596810 685525 716172 822630 895215 1014577 1193620 1371050 1492025 1645260 1790430 2029154 2056575 2742100 2984050 3043731 3580860 4058308 4113150 4476075 5072885 5968100 6087462 8226300 8952150 10145770 12174924 15218655 17904300 20291540 25364425 30437310 50728850 60874620 76093275 101457700 152186550 304373100