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344124 = 223211279
BaseRepresentation
bin1010100000000111100
3122111001100
41110000330
542002444
611213100
72632164
oct1240074
9574040
10344124
11215600
12147190
13c0831
148d5a4
156be69
hex5403c

344124 has 54 divisors (see below), whose sum is σ = 968240. Its totient is φ = 102960.

The previous prime is 344117. The next prime is 344153. The reversal of 344124 is 421443.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 33 + 47 + 1 + 48 + 25 + 49 .

It is a junction number, because it is equal to n+sod(n) for n = 344097 and 344106.

It is a congruent number.

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, 4317 + ... + 4395.

2344124 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 344124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484120).

344124 is an abundant number, since it is smaller than the sum of its proper divisors (624116).

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

344124 is a wasteful number, since it uses less digits than its factorization.

344124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 344124 is about 586.6208315428. The cubic root of 344124 is about 70.0763792149.

Adding to 344124 its reverse (421443), we get a palindrome (765567).

The spelling of 344124 in words is "three hundred forty-four thousand, one hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 121 132 158 198 237 242 316 363 396 474 484 711 726 869 948 1089 1422 1452 1738 2178 2607 2844 3476 4356 5214 7821 9559 10428 15642 19118 28677 31284 38236 57354 86031 114708 172062 344124