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274320 = 24335127
BaseRepresentation
bin1000010111110010000
3111221022000
41002332100
532234240
65514000
72221524
oct1027620
9457260
10274320
11178112
12112900
1397b27
1471d84
1556430
hex42f90

274320 has 80 divisors (see below), whose sum is σ = 952320. Its totient is φ = 72576.

The previous prime is 274301. The next prime is 274333. The reversal of 274320 is 23472.

It is a happy number.

274320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 274293 and 274302.

It is an unprimeable number.

274320 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 15 ways as a sum of consecutive naturals, for example, 2097 + ... + 2223.

It is an arithmetic number, because the mean of its divisors is an integer number (11904).

2274320 is an apocalyptic number.

274320 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 274320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476160).

274320 is an abundant number, since it is smaller than the sum of its proper divisors (678000).

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

274320 is a wasteful number, since it uses less digits than its factorization.

274320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 274320 is about 523.7556682271. The cubic root of 274320 is about 64.9759279699.

Adding to 274320 its reverse (23472), we get a palindrome (297792).

The spelling of 274320 in words is "two hundred seventy-four thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 127 135 144 180 216 240 254 270 360 381 432 508 540 635 720 762 1016 1080 1143 1270 1524 1905 2032 2160 2286 2540 3048 3429 3810 4572 5080 5715 6096 6858 7620 9144 10160 11430 13716 15240 17145 18288 22860 27432 30480 34290 45720 54864 68580 91440 137160 274320