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3683988 = 2233711443
BaseRepresentation
bin1110000011011010010100
320221011111000
432003122110
51420341423
6210543300
743212330
oct16033224
96834430
103683988
112096920
121297b30
139bca99
146bc7c0
154cb843
hex383694

3683988 has 96 divisors (see below), whose sum is σ = 11934720. Its totient is φ = 954720.

The previous prime is 3683971. The next prime is 3683993. The reversal of 3683988 is 8893863.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8095 + ... + 8537.

It is an arithmetic number, because the mean of its divisors is an integer number (124320).

Almost surely, 23683988 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 3683988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967360).

3683988 is an abundant number, since it is smaller than the sum of its proper divisors (8250732).

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

3683988 is a wasteful number, since it uses less digits than its factorization.

3683988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3683988 is about 1919.3717722213. The cubic root of 3683988 is about 154.4446026295. Note that the first 3 decimals are identical.

It can be divided in two parts, 368 and 3988, that added together give a square (4356 = 662).

The spelling of 3683988 in words is "three million, six hundred eighty-three thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 443 462 594 693 756 886 924 1188 1329 1386 1772 2079 2658 2772 3101 3987 4158 4873 5316 6202 7974 8316 9303 9746 11961 12404 14619 15948 18606 19492 23922 27909 29238 34111 37212 43857 47844 55818 58476 68222 83727 87714 102333 111636 131571 136444 167454 175428 204666 263142 306999 334908 409332 526284 613998 920997 1227996 1841994 3683988