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343044 = 223213733
BaseRepresentation
bin1010011110000000100
3122102120100
41103300010
541434134
611204100
72626062
oct1236004
9572510
10343044
11214809
12146630
13c01b0
148d032
156b999
hex53c04

343044 has 36 divisors (see below), whose sum is σ = 935116. Its totient is φ = 105408.

The previous prime is 343037. The next prime is 343051. The reversal of 343044 is 440343.

343044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (343037) and next prime (343051).

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 129600 = 462^2 + 360^2 .

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 an unprimeable number.

343044 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102 + ... + 834.

2343044 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 343044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467558).

343044 is an abundant number, since it is smaller than the sum of its proper divisors (592072).

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

343044 is a wasteful number, since it uses less digits than its factorization.

343044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 751 counting only the distinct ones).

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

The square root of 343044 is about 585.6995816970. The cubic root of 343044 is about 70.0029930693.

Adding to 343044 its reverse (440343), we get a palindrome (783387).

The spelling of 343044 in words is "three hundred forty-three thousand, forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 733 1466 2199 2932 4398 6597 8796 9529 13194 19058 26388 28587 38116 57174 85761 114348 171522 343044