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4332 = 223192
BaseRepresentation
bin1000011101100
312221110
41003230
5114312
632020
715426
oct10354
95843
104332
113289
122610
131c83
141816
15143c
hex10ec

4332 has 18 divisors (see below), whose sum is σ = 10668. Its totient is φ = 1368.

The previous prime is 4327. The next prime is 4337. The reversal of 4332 is 2334.

Multipling 4332 by its sum of digits (12), we get a square (51984 = 2282).

4332 divided by its sum of digits (12) gives a square (361 = 192).

Adding to 4332 its reverse (2334), we get a palindrome (6666).

It can be divided in two parts, 433 and 2, that added together give a triangular number (435 = T29).

It is an interprime number because it is at equal distance from previous prime (4327) and next prime (4337).

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

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

It is a d-powerful number, because it can be written as 42 + 34 + 37 + 211 .

Its product of digits (72) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (4337) 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, 219 + ... + 237.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334).

4332 is an abundant number, since it is smaller than the sum of its proper divisors (6336).

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

4332 is a wasteful number, since it uses less digits than its factorization.

4332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 24 counting only the distinct ones).

The product of its digits is 72, while the sum is 12.

The square root of 4332 is about 65.8179306876. The cubic root of 4332 is about 16.3015718559.

The spelling of 4332 in words is "four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 2166 4332