Search a number
-
+
3280116 = 2237172297
BaseRepresentation
bin1100100000110011110100
320011122110210
430200303310
51314430431
6154145420
736611010
oct14406364
96148423
103280116
111940444
121122270
138aacc8
14615540
1544bd46
hex320cf4

3280116 has 48 divisors (see below), whose sum is σ = 9265536. Its totient is φ = 881664.

The previous prime is 3280111. The next prime is 3280127. The reversal of 3280116 is 6110823.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3280092 and 3280101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3280111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280 + ... + 2576.

It is an arithmetic number, because the mean of its divisors is an integer number (193032).

Almost surely, 23280116 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 3280116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632768).

3280116 is an abundant number, since it is smaller than the sum of its proper divisors (5985420).

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

3280116 is a wasteful number, since it uses less digits than its factorization.

3280116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 3280116 is about 1811.1090524869. The cubic root of 3280116 is about 148.5809283514.

Adding to 3280116 its reverse (6110823), we get a palindrome (9390939).

The spelling of 3280116 in words is "three million, two hundred eighty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 2297 4594 6891 9188 13782 16079 27564 32158 39049 48237 64316 78098 96474 117147 156196 192948 234294 273343 468588 546686 820029 1093372 1640058 3280116