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344394 = 23219253
BaseRepresentation
bin1010100000101001010
3122111102100
41110011022
542010034
611214230
72633031
oct1240512
9574370
10344394
11215826
12147376
13c09ab
148d718
156c099
hex5414a

344394 has 36 divisors (see below), whose sum is σ = 802386. Its totient is φ = 106704.

The previous prime is 344371. The next prime is 344417. The reversal of 344394 is 493443.

It is an interprime number because it is at equal distance from previous prime (344371) and next prime (344417).

It can be written as a sum of positive squares in only one way, i.e., 263169 + 81225 = 513^2 + 285^2 .

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 17 ways as a sum of consecutive naturals, for example, 6472 + ... + 6524.

2344394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401193).

344394 is an abundant number, since it is smaller than the sum of its proper divisors (457992).

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

344394 is a wasteful number, since it uses less digits than its factorization.

344394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 344394 is about 586.8509180363. The cubic root of 344394 is about 70.0947017539.

It can be divided in two parts, 34439 and 4, that added together give a palindrome (34443).

The spelling of 344394 in words is "three hundred forty-four thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 114 159 171 318 342 361 477 722 954 1007 1083 2014 2166 3021 3249 6042 6498 9063 18126 19133 38266 57399 114798 172197 344394