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288730316 = 227232101193
BaseRepresentation
bin10001001101011…
…010110011001100
3202010022000112102
4101031122303030
51042403332231
644352254232
710104111230
oct2115326314
9663260472
10288730316
11138a873a6
1280841378
1347a83354
142a4bc5c0
151a534acb
hex1135accc

288730316 has 72 divisors (see below), whose sum is σ = 612794784. Its totient is φ = 116582400.

The previous prime is 288730303. The next prime is 288730319. The reversal of 288730316 is 613037882.

It is a happy number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 288730316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288730319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1495916 + ... + 1496108.

Almost surely, 2288730316 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 288730316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306397392).

288730316 is an abundant number, since it is smaller than the sum of its proper divisors (324064468).

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

288730316 is a wasteful number, since it uses less digits than its factorization.

288730316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 288730316 is about 16992.0662663491. The cubic root of 288730316 is about 660.9431846940.

The spelling of 288730316 in words is "two hundred eighty-eight million, seven hundred thirty thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 92 101 161 193 202 322 386 404 529 644 707 772 1058 1351 1414 2116 2323 2702 2828 3703 4439 4646 5404 7406 8878 9292 14812 16261 17756 19493 31073 32522 38986 53429 62146 65044 77972 102097 106858 124292 136451 204194 213716 272902 374003 408388 448339 545804 714679 748006 896678 1429358 1496012 1793356 2858716 3138373 6276746 10311797 12553492 20623594 41247188 72182579 144365158 288730316