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2268384 = 25323629
BaseRepresentation
bin1000101001110011100000
311021020122020
420221303200
51040042014
6120341440
725165236
oct10516340
94236566
102268384
11130a2a8
12914880
13615651
14430956
152ec1a9
hex229ce0

2268384 has 24 divisors (see below), whose sum is σ = 5954760. Its totient is φ = 756096.

The previous prime is 2268377. The next prime is 2268389. The reversal of 2268384 is 4838622.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268389) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11719 + ... + 11910.

It is an arithmetic number, because the mean of its divisors is an integer number (248115).

22268384 is an apocalyptic number.

2268384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2268384 is an abundant number, since it is smaller than the sum of its proper divisors (3686376).

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

2268384 is a wasteful number, since it uses less digits than its factorization.

2268384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23642 (or 23634 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2268384 is about 1506.1155334170. The cubic root of 2268384 is about 131.3929888371.

The spelling of 2268384 in words is "two million, two hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 23629 47258 70887 94516 141774 189032 283548 378064 567096 756128 1134192 2268384