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2368 = 2637
BaseRepresentation
bin100101000000
310020201
4211000
533433
614544
76622
oct4500
93221
102368
111863
121454
131102
14c12
15a7d
hex940

2368 has 14 divisors (see below), whose sum is σ = 4826. Its totient is φ = 1152.

The previous prime is 2357. The next prime is 2371. The reversal of 2368 is 8632.

Subtracting from 2368 its product of digits (288), we obtain a triangular number (2080 = T64).

It can be divided in two parts, 23 and 68, that added together give a triangular number (91 = T13).

2368 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 2304 + 64 = 48^2 + 8^2 .

It is a plaindrome in base 10.

It is a nialpdrome in base 4, base 7, base 9 and base 16.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46 + ... + 82.

22368 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 2368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413).

2368 is an abundant number, since it is smaller than the sum of its proper divisors (2458).

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

2368 is an equidigital number, since it uses as much as digits as its factorization.

2368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 39 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 2368 is about 48.6621002424. The cubic root of 2368 is about 13.3288874066.

The spelling of 2368 in words is "two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368