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344340 = 223251913
BaseRepresentation
bin1010100000100010100
3122111100100
41110010110
542004330
611214100
72632623
oct1240424
9574310
10344340
11215787
12147330
13c0969
148d6ba
156c060
hex54114

344340 has 36 divisors (see below), whose sum is σ = 1045044. Its totient is φ = 91776.

The previous prime is 344327. The next prime is 344347. The reversal of 344340 is 43443.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 125316 = 468^2 + 354^2 .

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

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

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 344340.

It is not an unprimeable number, because it can be changed into a prime (344347) by changing a digit.

344340 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 11 ways as a sum of consecutive naturals, for example, 777 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (29029).

2344340 is an apocalyptic number.

344340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344340 is an abundant number, since it is smaller than the sum of its proper divisors (700704).

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

344340 is a wasteful number, since it uses less digits than its factorization.

344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 344340 is about 586.8049079549. The cubic root of 344340 is about 70.0910380124.

Adding to 344340 its reverse (43443), we get a palindrome (387783).

The spelling of 344340 in words is "three hundred forty-four thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1913 3826 5739 7652 9565 11478 17217 19130 22956 28695 34434 38260 57390 68868 86085 114780 172170 344340