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274056 = 23319601
BaseRepresentation
bin1000010111010001000
3111220221020
41002322020
532232211
65512440
72220666
oct1027210
9456836
10274056
111779a2
12112720
1397983
1471c36
1556306
hex42e88

274056 has 32 divisors (see below), whose sum is σ = 722400. Its totient is φ = 86400.

The previous prime is 274033. The next prime is 274061. The reversal of 274056 is 650472.

It is a happy number.

It is a super-2 number, since 2×2740562 = 150213382272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 156 + ... + 756.

It is an arithmetic number, because the mean of its divisors is an integer number (22575).

2274056 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 274056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361200).

274056 is an abundant number, since it is smaller than the sum of its proper divisors (448344).

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

274056 is a wasteful number, since it uses less digits than its factorization.

274056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 274056 is about 523.5035816496. The cubic root of 274056 is about 64.9550774417.

The spelling of 274056 in words is "two hundred seventy-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 601 1202 1803 2404 3606 4808 7212 11419 14424 22838 34257 45676 68514 91352 137028 274056