Search a number
-
+
2296944 = 243313409
BaseRepresentation
bin1000110000110001110000
311022200211000
420300301300
51042000234
6121122000
725344426
oct10606160
94280730
102296944
111329801
12929300
13625650
1443b116
15305899
hex230c70

2296944 has 80 divisors (see below), whose sum is σ = 7117600. Its totient is φ = 705024.

The previous prime is 2296939. The next prime is 2296963. The reversal of 2296944 is 4496922.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2296899 and 2296908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5412 + ... + 5820.

It is an arithmetic number, because the mean of its divisors is an integer number (88970).

22296944 is an apocalyptic number.

2296944 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 2296944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558800).

2296944 is an abundant number, since it is smaller than the sum of its proper divisors (4820656).

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

2296944 is a wasteful number, since it uses less digits than its factorization.

2296944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 427 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2296944 is about 1515.5672205481. The cubic root of 2296944 is about 131.9421233875.

It can be divided in two parts, 2296 and 944, that added together give a triangular number (3240 = T80).

The spelling of 2296944 in words is "two million, two hundred ninety-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 409 432 468 624 702 818 936 1227 1404 1636 1872 2454 2808 3272 3681 4908 5317 5616 6544 7362 9816 10634 11043 14724 15951 19632 21268 22086 29448 31902 42536 44172 47853 58896 63804 85072 88344 95706 127608 143559 176688 191412 255216 287118 382824 574236 765648 1148472 2296944