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2688378 = 237112232
BaseRepresentation
bin1010010000010101111010
312001120202120
422100111322
51142012003
6133342110
731564560
oct12202572
95046676
102688378
111576900
12a97936
13731874
144dda30
15381853
hex29057a

2688378 has 72 divisors (see below), whose sum is σ = 7060704. Its totient is φ = 667920.

The previous prime is 2688377. The next prime is 2688391. The reversal of 2688378 is 8738862.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 24 + 65 + 82 + 83 + 313 + 77 + 86 .

It is not an unprimeable number, because it can be changed into a prime (2688373) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116875 + ... + 116897.

22688378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2688378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530352).

2688378 is an abundant number, since it is smaller than the sum of its proper divisors (4372326).

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

2688378 is a wasteful number, since it uses less digits than its factorization.

2688378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 2688378 is about 1639.6273966972. The cubic root of 2688378 is about 139.0475830399.

Multiplying 2688378 by its sum of digits (42), we get a square (112911876 = 106262).

2688378 divided by its sum of digits (42) gives a square (64009 = 2532).

It can be divided in two parts, 2688 and 378, that multiplied together give a square (1016064 = 10082).

The spelling of 2688378 in words is "two million, six hundred eighty-eight thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 121 138 154 161 231 242 253 322 363 462 483 506 529 726 759 847 966 1058 1518 1587 1694 1771 2541 2783 3174 3542 3703 5082 5313 5566 5819 7406 8349 10626 11109 11638 16698 17457 19481 22218 34914 38962 40733 58443 64009 81466 116886 122199 128018 192027 244398 384054 448063 896126 1344189 2688378