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274248 = 233213293
BaseRepresentation
bin1000010111101001000
3111221012100
41002331020
532233443
65513400
72221362
oct1027510
9457170
10274248
11178057
12112860
1397aa0
1471d32
15563d3
hex42f48

274248 has 48 divisors (see below), whose sum is σ = 802620. Its totient is φ = 84096.

The previous prime is 274243. The next prime is 274259. The reversal of 274248 is 842472.

It can be written as a sum of positive squares in 2 ways, for example, as 272484 + 1764 = 522^2 + 42^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 274248.

It is not an unprimeable number, because it can be changed into a prime (274243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 790 + ... + 1082.

2274248 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 274248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401310).

274248 is an abundant number, since it is smaller than the sum of its proper divisors (528372).

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

274248 is a wasteful number, since it uses less digits than its factorization.

274248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 311 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 274248 is about 523.6869293767. The cubic root of 274248 is about 64.9702427894.

The spelling of 274248 in words is "two hundred seventy-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 293 312 468 586 879 936 1172 1758 2344 2637 3516 3809 5274 7032 7618 10548 11427 15236 21096 22854 30472 34281 45708 68562 91416 137124 274248