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2685384 = 23321319151
BaseRepresentation
bin1010001111100111001000
312001102122200
422033213020
51141413014
6133320200
731553052
oct12174710
95042580
102685384
111574629
12a96060
137303b0
144dc8d2
15380a09
hex28f9c8

2685384 has 96 divisors (see below), whose sum is σ = 8299200. Its totient is φ = 777600.

The previous prime is 2685383. The next prime is 2685401. The reversal of 2685384 is 4835862.

2685384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26853842 = 14422574454912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a d-powerful number, because it can be written as 217 + 67 + 8 + 5 + 311 + 87 + 43 .

It is not an unprimeable number, because it can be changed into a prime (2685383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17709 + ... + 17859.

It is an arithmetic number, because the mean of its divisors is an integer number (86450).

22685384 is an apocalyptic number.

2685384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2685384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149600).

2685384 is an abundant number, since it is smaller than the sum of its proper divisors (5613816).

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

2685384 is a wasteful number, since it uses less digits than its factorization.

2685384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 188 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2685384 is about 1638.7141300422. The cubic root of 2685384 is about 138.9959455712.

The spelling of 2685384 in words is "two million, six hundred eighty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 151 152 156 171 228 234 247 302 312 342 453 456 468 494 604 684 741 906 936 988 1208 1359 1368 1482 1812 1963 1976 2223 2718 2869 2964 3624 3926 4446 5436 5738 5889 5928 7852 8607 8892 10872 11476 11778 15704 17214 17667 17784 22952 23556 25821 34428 35334 37297 47112 51642 68856 70668 74594 103284 111891 141336 149188 206568 223782 298376 335673 447564 671346 895128 1342692 2685384