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274344 = 23372371
BaseRepresentation
bin1000010111110101000
3111221022220
41002332220
532234334
65514040
72221560
oct1027650
9457286
10274344
11178134
12112920
1397b45
1471da0
1556449
hex42fa8

274344 has 64 divisors (see below), whose sum is σ = 829440. Its totient is φ = 73920.

The previous prime is 274333. The next prime is 274349. The reversal of 274344 is 443472.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 29 + 7 + 38 + 45 + 46 + 49 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 274344.

It is not an unprimeable number, because it can be changed into a prime (274349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3829 + ... + 3899.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2274344 is an apocalyptic number.

274344 is a gapful number since it is divisible by the number (24) 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 274344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414720).

274344 is an abundant number, since it is smaller than the sum of its proper divisors (555096).

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

274344 is a wasteful number, since it uses less digits than its factorization.

274344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 106 counting only the distinct ones).

The product of its digits is 2688, while the sum is 24.

The square root of 274344 is about 523.7785791725. The cubic root of 274344 is about 64.9778228090.

It can be divided in two parts, 27 and 4344, that added together give a triangular number (4371 = T93).

The spelling of 274344 in words is "two hundred seventy-four thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 71 84 92 138 142 161 168 184 213 276 284 322 426 483 497 552 568 644 852 966 994 1288 1491 1633 1704 1932 1988 2982 3266 3864 3976 4899 5964 6532 9798 11431 11928 13064 19596 22862 34293 39192 45724 68586 91448 137172 274344