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288310230 = 232513317949
BaseRepresentation
bin10001001011110…
…100001111010110
3202002111200021200
4101023310033112
51042301411410
644335253330
710100411415
oct2113641726
9662450250
10288310230
1113881a81a
128067a246
1347967090
142a40d47c
151a4a03c0
hex112f43d6

288310230 has 96 divisors (see below), whose sum is σ = 833414400. Its totient is φ = 68670720.

The previous prime is 288310229. The next prime is 288310271. The reversal of 288310230 is 32013882.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 288310194 and 288310203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32296 + ... + 40244.

It is an arithmetic number, because the mean of its divisors is an integer number (8681400).

Almost surely, 2288310230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288310230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416707200).

288310230 is an abundant number, since it is smaller than the sum of its proper divisors (545104170).

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

288310230 is a wasteful number, since it uses less digits than its factorization.

288310230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8006 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 288310230 is about 16979.7005273945. The cubic root of 288310230 is about 660.6224843396.

The spelling of 288310230 in words is "two hundred eighty-eight million, three hundred ten thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3627 4030 6045 7254 7949 12090 15898 18135 23847 36270 39745 47694 71541 79490 103337 119235 143082 206674 238470 246419 310011 357705 492838 516685 620022 715410 739257 930033 1033370 1232095 1478514 1550055 1860066 2217771 2464190 3100110 3203447 3696285 4435542 4650165 6406894 7392570 9300330 9610341 11088855 16017235 19220682 22177710 28831023 32034470 48051705 57662046 96103410 144155115 288310230