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274144 = 2513659
BaseRepresentation
bin1000010111011100000
3111221001111
41002323200
532233034
65513104
72221153
oct1027340
9457044
10274144
11177a72
12112794
1397a20
1471c9a
1556364
hex42ee0

274144 has 24 divisors (see below), whose sum is σ = 582120. Its totient is φ = 126336.

The previous prime is 274139. The next prime is 274147. The reversal of 274144 is 441472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274147) by changing a digit.

274144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87 + ... + 745.

It is an arithmetic number, because the mean of its divisors is an integer number (24255).

2274144 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 274144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291060).

274144 is an abundant number, since it is smaller than the sum of its proper divisors (307976).

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

274144 is a wasteful number, since it uses less digits than its factorization.

274144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its digits is 896, while the sum is 22.

The square root of 274144 is about 523.5876239943. The cubic root of 274144 is about 64.9620291050.

The spelling of 274144 in words is "two hundred seventy-four thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 659 1318 2636 5272 8567 10544 17134 21088 34268 68536 137072 274144