2352 has 30 divisors (see below), whose sum is σ = 7068. Its totient is φ = 672.

The previous prime is 2351. The next prime is 2357. The reversal of 2352 is 2532.

Multipling 2352 by its sum of digits (12), we get a square (28224 = 168^{2}).

2352 divided by its sum of digits (12) gives a square (196 = 14^{2}).

Adding to 2352 its reverse (2532), we get a palindrome (4884).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a d-powerful number, because it can be written as **2**^{5} + **5** + **3**^{7} + **2**^{7} .

Its product of digits (60) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 7, base 14 and base 16.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (2351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333 + ... + 339.

2^{2352} is an apocalyptic number.

It is a pronic number, being equal to 48×49.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534).

2352 is an abundant number, since it is smaller than the sum of its proper divisors (4716).

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

2352 is a wasteful number, since it uses less digits than its factorization.

2352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 12 counting only the distinct ones).

The product of its digits is 60, while the sum is 12.

The square root of 2352 is about 48.4974226119. The cubic root of 2352 is about 13.2987995223.

The spelling of 2352 in words is "two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352

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