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341712 = 24337113
BaseRepresentation
bin1010011011011010000
3122100202000
41103123100
541413322
611154000
72622150
oct1233320
9570660
10341712
11213808
12145900
13bc6c7
148c760
156b3ac
hex536d0

341712 has 80 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 96768.

The previous prime is 341701. The next prime is 341729. The reversal of 341712 is 217143.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

341712 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, 2968 + ... + 3080.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

2341712 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 341712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565440).

341712 is an abundant number, since it is smaller than the sum of its proper divisors (789168).

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

341712 is a wasteful number, since it uses less digits than its factorization.

341712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 341712 is about 584.5613740233. The cubic root of 341712 is about 69.9122710502.

Adding to 341712 its reverse (217143), we get a palindrome (558855).

The spelling of 341712 in words is "three hundred forty-one thousand, seven hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 113 126 144 168 189 216 226 252 336 339 378 432 452 504 678 756 791 904 1008 1017 1356 1512 1582 1808 2034 2373 2712 3024 3051 3164 4068 4746 5424 6102 6328 7119 8136 9492 12204 12656 14238 16272 18984 21357 24408 28476 37968 42714 48816 56952 85428 113904 170856 341712