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334422 = 23311563
BaseRepresentation
bin1010001101001010110
3121222202000
41101221112
541200142
611100130
72561664
oct1215126
9558660
10334422
11209290
12141646
13b92aa
1489c34
156914c
hex51a56

334422 has 32 divisors (see below), whose sum is σ = 812160. Its totient is φ = 101160.

The previous prime is 334421. The next prime is 334423. The reversal of 334422 is 224433.

It is an interprime number because it is at equal distance from previous prime (334421) and next prime (334423).

It is a super-3 number, since 3×3344223 = 112203337233958344, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a d-powerful number, because it can be written as 39 + 39 + 42 + 49 + 27 + 215 .

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 334395 and 334404.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 334422.

It is not an unprimeable number, because it can be changed into a prime (334421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (25380).

2334422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406080).

334422 is an abundant number, since it is smaller than the sum of its proper divisors (477738).

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

334422 is a wasteful number, since it uses less digits than its factorization.

334422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 579 counting only the distinct ones).

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

The square root of 334422 is about 578.2923136269. The cubic root of 334422 is about 69.4115293377.

Adding to 334422 its reverse (224433), we get a palindrome (558855).

The spelling of 334422 in words is "three hundred thirty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 563 594 1126 1689 3378 5067 6193 10134 12386 15201 18579 30402 37158 55737 111474 167211 334422