Search a number
-
+
2821284 = 2233151173
BaseRepresentation
bin1010110000110010100100
312022100002000
422300302210
51210240114
6140245300
732660214
oct12606244
95270060
102821284
111657744
12b40830
1377a1cb
14536244
153aae09
hex2b0ca4

2821284 has 48 divisors (see below), whose sum is σ = 7405440. Its totient is φ = 928800.

The previous prime is 2821277. The next prime is 2821289. The reversal of 2821284 is 4821282.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2821289) 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, 16222 + ... + 16394.

It is an arithmetic number, because the mean of its divisors is an integer number (154280).

22821284 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 2821284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702720).

2821284 is an abundant number, since it is smaller than the sum of its proper divisors (4584156).

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

2821284 is a wasteful number, since it uses less digits than its factorization.

2821284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2821284 is about 1679.6678243034. The cubic root of 2821284 is about 141.3022037963.

It can be divided in two parts, 28 and 21284, that added together give a palindrome (21312).

The spelling of 2821284 in words is "two million, eight hundred twenty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 173 302 346 453 519 604 692 906 1038 1359 1557 1812 2076 2718 3114 4077 4671 5436 6228 8154 9342 16308 18684 26123 52246 78369 104492 156738 235107 313476 470214 705321 940428 1410642 2821284