Search a number
-
+
344540 = 225723107
BaseRepresentation
bin1010100000111011100
3122111121202
41110013130
542011130
611215032
72633330
oct1240734
9574552
10344540
11215949
12147478
13c0a91
148d7c0
156c145
hex541dc

344540 has 48 divisors (see below), whose sum is σ = 870912. Its totient is φ = 111936.

The previous prime is 344497. The next prime is 344543. The reversal of 344540 is 45443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344543) by changing a digit.

344540 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, 3167 + ... + 3273.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2344540 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 344540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

344540 is an abundant number, since it is smaller than the sum of its proper divisors (526372).

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

344540 is a wasteful number, since it uses less digits than its factorization.

344540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 344540 is about 586.9752976063. The cubic root of 344540 is about 70.1046055081.

Adding to 344540 its reverse (45443), we get a palindrome (389983).

The spelling of 344540 in words is "three hundred forty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 107 115 140 161 214 230 322 428 460 535 644 749 805 1070 1498 1610 2140 2461 2996 3220 3745 4922 7490 9844 12305 14980 17227 24610 34454 49220 68908 86135 172270 344540