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344172 = 223232943
BaseRepresentation
bin1010100000001101100
3122111010010
41110001230
542003142
611213220
72632263
oct1240154
9574103
10344172
11215644
12147210
13c086a
148d5da
156be9c
hex5406c

344172 has 48 divisors (see below), whose sum is σ = 887040. Its totient is φ = 103488.

The previous prime is 344171. The next prime is 344173. The reversal of 344172 is 271443.

It is an interprime number because it is at equal distance from previous prime (344171) and next prime (344173).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 344172.

It is not an unprimeable number, because it can be changed into a prime (344171) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7983 + ... + 8025.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2344172 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 344172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

344172 is an abundant number, since it is smaller than the sum of its proper divisors (542868).

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

344172 is a wasteful number, since it uses less digits than its factorization.

344172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 344172 is about 586.6617424036. The cubic root of 344172 is about 70.0796372555.

The spelling of 344172 in words is "three hundred forty-four thousand, one hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 23 29 43 46 58 69 86 87 92 116 129 138 172 174 258 276 348 516 667 989 1247 1334 1978 2001 2494 2668 2967 3741 3956 4002 4988 5934 7482 8004 11868 14964 28681 57362 86043 114724 172086 344172