Search a number
-
+
288291330 = 232510393083
BaseRepresentation
bin10001001011101…
…111101000000010
3202002110201100200
4101023233220002
51042300310310
644335030030
710100302335
oct2113575002
9662421320
10288291330
111388075a8
128066b316
134795b5b2
142a40661c
151a4999c0
hex112efa02

288291330 has 48 divisors (see below), whose sum is σ = 750522240. Its totient is φ = 76778784.

The previous prime is 288291329. The next prime is 288291343. The reversal of 288291330 is 33192882.

It is a happy number.

It is a super-2 number, since 2×2882913302 = 166223781906337800, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 91969 + ... + 95051.

It is an arithmetic number, because the mean of its divisors is an integer number (15635880).

Almost surely, 2288291330 is an apocalyptic number.

288291330 is an abundant number, since it is smaller than the sum of its proper divisors (462230910).

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

288291330 is a wasteful number, since it uses less digits than its factorization.

288291330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 288291330 is about 16979.1439713550. The cubic root of 288291330 is about 660.6080484571.

The spelling of 288291330 in words is "two hundred eighty-eight million, two hundred ninety-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1039 2078 3083 3117 5195 6166 6234 9249 9351 10390 15415 15585 18498 18702 27747 30830 31170 46245 46755 55494 92490 93510 138735 277470 3203237 6406474 9609711 16016185 19219422 28829133 32032370 48048555 57658266 96097110 144145665 288291330