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14274 = 2321361
BaseRepresentation
bin11011111000010
3201120200
43133002
5424044
6150030
756421
oct33702
921520
1014274
11a7a7
128316
136660
1452b8
154369
hex37c2

14274 has 24 divisors (see below), whose sum is σ = 33852. Its totient is φ = 4320.

The previous prime is 14251. The next prime is 14281. The reversal of 14274 is 47241.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11025 + 3249 = 105^2 + 57^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

14274 is an undulating number in base 11.

It is a Curzon number.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14274.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204 + ... + 264.

214274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926).

14274 is an abundant number, since it is smaller than the sum of its proper divisors (19578).

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

14274 is a wasteful number, since it uses less digits than its factorization.

14274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 79 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 14274 is about 119.4738465104. The cubic root of 14274 is about 24.2576409832.

It can be divided in two parts, 1427 and 4, that added together give a triangular number (1431 = T53).

The spelling of 14274 in words is "fourteen thousand, two hundred seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1586 2379 4758 7137 14274