Search a number
-
+
2287944 = 233243739
BaseRepresentation
bin1000101110100101001000
311022020110200
420232211020
51041203234
6121012200
725306251
oct10564510
94266420
102287944
111322a6a
12924060
13621519
14437b28
15302d99
hex22e948

2287944 has 48 divisors (see below), whose sum is σ = 6349200. Its totient is φ = 743904.

The previous prime is 2287937. The next prime is 2287951. The reversal of 2287944 is 4497822.

2287944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2287937) and next prime (2287951).

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

It is a d-powerful number, because it can be written as 217 + 221 + 8 + 73 + 95 + 43 + 44 .

It is a junction number, because it is equal to n+sod(n) for n = 2287899 and 2287908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2727 + ... + 3465.

It is an arithmetic number, because the mean of its divisors is an integer number (132275).

22287944 is an apocalyptic number.

2287944 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 2287944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174600).

2287944 is an abundant number, since it is smaller than the sum of its proper divisors (4061256).

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

2287944 is a wasteful number, since it uses less digits than its factorization.

2287944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 787 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2287944 is about 1512.5951209759. The cubic root of 2287944 is about 131.7695704299.

The spelling of 2287944 in words is "two million, two hundred eighty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 739 774 1032 1478 1548 2217 2956 3096 4434 5912 6651 8868 13302 17736 26604 31777 53208 63554 95331 127108 190662 254216 285993 381324 571986 762648 1143972 2287944