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2340 = 2232513
BaseRepresentation
bin100100100100
310012200
4210210
533330
614500
76552
oct4444
93180
102340
111838
121430
1310b0
14bd2
15a60
hex924

2340 has 36 divisors (see below), whose sum is σ = 7644. Its totient is φ = 576.

The previous prime is 2339. The next prime is 2341. The reversal of 2340 is 432.

Adding to 2340 its reverse (432), we get a palindrome (2772).

2340 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (2339) and next prime (2341).

It can be written as a sum of positive squares in 2 ways, for example, as 576 + 1764 = 24^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

2340 is a nontrivial repdigit in base 8.

It is a plaindrome in base 8.

It is a nialpdrome in base 5, base 7, base 8 and base 15.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174 + ... + 186.

22340 is an apocalyptic number.

2340 is a gapful number since it is divisible by the number (20) 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 2340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822).

2340 is an abundant number, since it is smaller than the sum of its proper divisors (5304).

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

2340 is a wasteful number, since it uses less digits than its factorization.

2340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2340 is about 48.3735464898. The cubic root of 2340 is about 13.2761439426.

The spelling of 2340 in words is "two thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340