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306226344 = 2331961101109
BaseRepresentation
bin10010010000001…
…010010010101000
3210100012220120110
4102100022102220
51111343220334
650215254320
710405611114
oct2220122250
9710186513
10306226344
11147947426
128667a3a0
134b59ab28
142c954744
151bd3dae9
hex1240a4a8

306226344 has 128 divisors (see below), whose sum is σ = 834768000. Its totient is φ = 93312000.

The previous prime is 306226279. The next prime is 306226391. The reversal of 306226344 is 443622603.

It is a happy 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, 2809362 + ... + 2809470.

It is an arithmetic number, because the mean of its divisors is an integer number (6521625).

Almost surely, 2306226344 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 306226344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417384000).

306226344 is an abundant number, since it is smaller than the sum of its proper divisors (528541656).

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

306226344 is a wasteful number, since it uses less digits than its factorization.

306226344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 306226344 is about 17499.3241012332. The cubic root of 306226344 is about 674.0325190426.

Adding to 306226344 its reverse (443622603), we get a palindrome (749848947).

The spelling of 306226344 in words is "three hundred six million, two hundred twenty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 101 109 114 122 152 183 202 218 228 244 303 327 366 404 436 456 488 606 654 732 808 872 1159 1212 1308 1464 1919 2071 2318 2424 2616 3477 3838 4142 4636 5757 6161 6213 6649 6954 7676 8284 9272 11009 11514 12322 12426 13298 13908 15352 16568 18483 19947 22018 23028 24644 24852 26596 27816 33027 36966 39894 44036 46056 49288 49704 53192 66054 73932 79788 88072 117059 126331 132108 147864 159576 209171 234118 252662 264216 351177 378993 418342 468236 505324 627513 671549 702354 757986 836684 936472 1010648 1255026 1343098 1404708 1515972 1673368 2014647 2510052 2686196 2809416 3031944 4029294 5020104 5372392 8058588 12759431 16117176 25518862 38278293 51037724 76556586 102075448 153113172 306226344