Search a number
-
+
344085 = 35729113
BaseRepresentation
bin1010100000000010101
3122110222220
41110000111
542002320
611212553
72632110
oct1240025
9573886
10344085
11215575
12147159
13c0801
148d577
156be40
hex54015

344085 has 32 divisors (see below), whose sum is σ = 656640. Its totient is φ = 150528.

The previous prime is 344083. The next prime is 344111. The reversal of 344085 is 580443.

It is a happy number.

344085 is nontrivially palindromic in base 2 and base 4.

It is not a de Polignac number, because 344085 - 21 = 344083 is a prime.

It is a zygodrome in base 4.

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 344085.

It is not an unprimeable number, because it can be changed into a prime (344083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2989 + ... + 3101.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2344085 is an apocalyptic number.

344085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

344085 is the 339-th octagonal number.

It is an amenable number.

344085 is a deficient number, since it is larger than the sum of its proper divisors (312555).

344085 is a wasteful number, since it uses less digits than its factorization.

344085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 344085 is about 586.5875893675. The cubic root of 344085 is about 70.0737318339.

The spelling of 344085 in words is "three hundred forty-four thousand, eighty-five".

Divisors: 1 3 5 7 15 21 29 35 87 105 113 145 203 339 435 565 609 791 1015 1695 2373 3045 3277 3955 9831 11865 16385 22939 49155 68817 114695 344085