Search a number
-
+
306949050 = 232522943547
BaseRepresentation
bin10010010010111…
…010101110111010
3210101120121221100
4102102322232322
51112034332200
650242552230
710415011122
oct2222725672
9711517840
10306949050
111482a0401
1286968676
134b791a75
142caa1c82
151be32d00
hex124babba

306949050 has 144 divisors (see below), whose sum is σ = 874542240. Its totient is φ = 77051520.

The previous prime is 306949039. The next prime is 306949051. The reversal of 306949050 is 50949603.

It is a junction number, because it is equal to n+sod(n) for n = 306948996 and 306949014.

It is not an unprimeable number, because it can be changed into a prime (306949051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 560877 + ... + 561423.

It is an arithmetic number, because the mean of its divisors is an integer number (6073210).

Almost surely, 2306949050 is an apocalyptic number.

306949050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 306949050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437271120).

306949050 is an abundant number, since it is smaller than the sum of its proper divisors (567593190).

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

306949050 is a wasteful number, since it uses less digits than its factorization.

306949050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 306949050 is about 17519.9614725604. The cubic root of 306949050 is about 674.5623500470.

The spelling of 306949050 in words is "three hundred six million, nine hundred forty-nine thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 43 45 50 58 75 86 87 90 129 145 150 174 215 225 258 261 290 387 430 435 450 522 547 645 725 774 870 1075 1094 1247 1290 1305 1450 1641 1935 2150 2175 2494 2610 2735 3225 3282 3741 3870 4350 4923 5470 6235 6450 6525 7482 8205 9675 9846 11223 12470 13050 13675 15863 16410 18705 19350 22446 23521 24615 27350 31175 31726 37410 41025 47042 47589 49230 56115 62350 70563 79315 82050 93525 95178 112230 117605 123075 141126 142767 158630 187050 211689 235210 237945 246150 280575 285534 352815 396575 423378 475890 561150 588025 682109 705630 713835 793150 1058445 1176050 1189725 1364218 1427670 1764075 2046327 2116890 2379450 3410545 3528150 3569175 4092654 5292225 6138981 6821090 7138350 10231635 10584450 12277962 17052725 20463270 30694905 34105450 51158175 61389810 102316350 153474525 306949050