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274000 = 2453137
BaseRepresentation
bin1000010111001010000
3111220212011
41002321100
532232000
65512304
72220556
oct1027120
9456764
10274000
11177951
12112694
139793c
1471bd6
15562ba
hex42e50

274000 has 40 divisors (see below), whose sum is σ = 667368. Its totient is φ = 108800.

The previous prime is 273997. The next prime is 274007. The reversal of 274000 is 472.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 266256 = 88^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1932 + ... + 2068.

2274000 is an apocalyptic number.

274000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333684).

274000 is an abundant number, since it is smaller than the sum of its proper divisors (393368).

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

274000 is a wasteful number, since it uses less digits than its factorization.

274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 274000 is about 523.4500931321. The cubic root of 274000 is about 64.9506528811.

Adding to 274000 its reverse (472), we get a palindrome (274472).

The spelling of 274000 in words is "two hundred seventy-four thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 137 200 250 274 400 500 548 685 1000 1096 1370 2000 2192 2740 3425 5480 6850 10960 13700 17125 27400 34250 54800 68500 137000 274000