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288630243 = 331123293147
BaseRepresentation
bin10001001101000…
…010010111100011
3202010002221021000
4101031002113203
51042342131433
644350203043
710103213406
oct2115022743
9663087230
10288630243
11138a191a0
12807b3483
1347a49935
142a493d3d
151a515113
hex113425e3

288630243 has 128 divisors (see below), whose sum is σ = 530841600. Its totient is φ = 153014400.

The previous prime is 288630241. The next prime is 288630269. The reversal of 288630243 is 342036882.

It is not a de Polignac number, because 288630243 - 21 = 288630241 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 288630198 and 288630207.

It is not an unprimeable number, because it can be changed into a prime (288630241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6141046 + ... + 6141092.

It is an arithmetic number, because the mean of its divisors is an integer number (4147200).

Almost surely, 2288630243 is an apocalyptic number.

288630243 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

288630243 is a deficient number, since it is larger than the sum of its proper divisors (242211357).

288630243 is a wasteful number, since it uses less digits than its factorization.

288630243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 288630243 is about 16989.1213133581. The cubic root of 288630243 is about 660.8668156087.

The spelling of 288630243 in words is "two hundred eighty-eight million, six hundred thirty thousand, two hundred forty-three".

Divisors: 1 3 9 11 23 27 29 31 33 47 69 87 93 99 141 207 253 261 279 297 319 341 423 517 621 667 713 759 783 837 899 957 1023 1081 1269 1363 1457 1551 2001 2139 2277 2697 2871 3069 3243 4089 4371 4653 6003 6417 6831 7337 7843 8091 8613 9207 9729 9889 11891 12267 13113 13959 14993 16027 18009 19251 20677 22011 23529 24273 29187 29667 31349 33511 35673 36801 39339 42253 44979 48081 62031 66033 70587 89001 94047 100533 107019 126759 134937 144243 186093 198099 211761 227447 267003 282141 301599 321057 344839 368621 380277 404811 432729 464783 558279 682341 846423 904797 971819 1034517 1105863 1140831 1394349 2047023 2915457 3103551 3317589 4183047 6141069 8746371 9310653 9952767 10690009 12549141 26239113 32070027 96210081 288630243