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2688114 = 2311132241
BaseRepresentation
bin1010010000010001110010
312001120101210
422100101302
51142004424
6133340550
731564032
oct12202162
95046353
102688114
111576690
12a97756
13731700
144dd8c2
15381729
hex290472

2688114 has 48 divisors (see below), whose sum is σ = 6377184. Its totient is φ = 748800.

The previous prime is 2688073. The next prime is 2688137. The reversal of 2688114 is 4118862.

It is a super-3 number, since 3×26881143 = 58272587533347676632, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11034 + ... + 11274.

It is an arithmetic number, because the mean of its divisors is an integer number (132858).

22688114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2688114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188592).

2688114 is an abundant number, since it is smaller than the sum of its proper divisors (3689070).

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

2688114 is a wasteful number, since it uses less digits than its factorization.

2688114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 2688114 is about 1639.5468886250. The cubic root of 2688114 is about 139.0430313780.

The spelling of 2688114 in words is "two million, six hundred eighty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 241 286 338 429 482 507 723 858 1014 1446 1859 2651 3133 3718 5302 5577 6266 7953 9399 11154 15906 18798 34463 40729 68926 81458 103389 122187 206778 244374 448019 896038 1344057 2688114