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255348 = 223241173
BaseRepresentation
bin111110010101110100
3110222021100
4332111310
531132343
65250100
72112312
oct762564
9428240
10255348
11164935
12103930
138c2c2
14690b2
15509d3
hex3e574

255348 has 36 divisors (see below), whose sum is σ = 665028. Its totient is φ = 82560.

The previous prime is 255329. The next prime is 255349. The reversal of 255348 is 843552.

255348 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 138384 = 342^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2553482 = 130405202208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255349) by changing a digit.

255348 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1390 + ... + 1562.

It is an arithmetic number, because the mean of its divisors is an integer number (18473).

2255348 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 255348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332514).

255348 is an abundant number, since it is smaller than the sum of its proper divisors (409680).

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

255348 is a wasteful number, since it uses less digits than its factorization.

255348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 219 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 255348 is about 505.3197007836. The cubic root of 255348 is about 63.4420907563.

It can be divided in two parts, 2553 and 48, that added together give a square (2601 = 512).

The spelling of 255348 in words is "two hundred fifty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 173 246 346 369 492 519 692 738 1038 1476 1557 2076 3114 6228 7093 14186 21279 28372 42558 63837 85116 127674 255348