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288631668 = 2231315112253
BaseRepresentation
bin10001001101000…
…010101101110100
3202010010000012210
4101031002231310
51042342203133
644350213420
710103220513
oct2115025564
9663100183
10288631668
11138a1a276
12807b4270
1347a4a490
142a49467a
151a515763
hex11342b74

288631668 has 48 divisors (see below), whose sum is σ = 730142336. Its totient is φ = 88214400.

The previous prime is 288631657. The next prime is 288631697. The reversal of 288631668 is 866136882.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 17430 + ... + 29682.

Almost surely, 2288631668 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 288631668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365071168).

288631668 is an abundant number, since it is smaller than the sum of its proper divisors (441510668).

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

288631668 is a wasteful number, since it uses less digits than its factorization.

288631668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12424 (or 12422 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 288631668 is about 16989.1632519086. The cubic root of 288631668 is about 660.8679031982.

The spelling of 288631668 in words is "two hundred eighty-eight million, six hundred thirty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 302 453 604 906 1812 1963 3926 5889 7852 11778 12253 23556 24506 36759 49012 73518 147036 159289 318578 477867 637156 955734 1850203 1911468 3700406 5550609 7400812 11101218 22202436 24052639 48105278 72157917 96210556 144315834 288631668