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4338 = 232241
BaseRepresentation
bin1000011110010
312221200
41003302
5114323
632030
715435
oct10362
95850
104338
113294
122616
131c89
14181c
151443
hex10f2

4338 has 12 divisors (see below), whose sum is σ = 9438. Its totient is φ = 1440.

The previous prime is 4337. The next prime is 4339. The reversal of 4338 is 8334.

It is an interprime number because it is at equal distance from previous prime (4337) and next prime (4339).

It can be written as a sum of positive squares in only one way, i.e., 3249 + 1089 = 57^2 + 33^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 241 = 4338 / (4 + 3 + 3 + 8).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4338.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4338.

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, 103 + ... + 138.

4338 is an abundant number, since it is smaller than the sum of its proper divisors (5100).

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

4338 is a wasteful number, since it uses less digits than its factorization.

4338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 246 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 4338 is about 65.8634952003. The cubic root of 4338 is about 16.3090945020.

Adding to 4338 its sum of digits (18), we get a square (4356 = 662).

It can be divided in two parts, 433 and 8, that added together give a square (441 = 212).

The spelling of 4338 in words is "four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 241 482 723 1446 2169 4338