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334144 = 2623227
BaseRepresentation
bin1010001100101000000
3121222100201
41101211000
541143034
611054544
72561116
oct1214500
9558321
10334144
11209058
12141454
13b9125
1489ab6
1569014
hex51940

334144 has 28 divisors (see below), whose sum is σ = 694944. Its totient is φ = 159104.

The previous prime is 334133. The next prime is 334157. The reversal of 334144 is 441433.

It is a super-2 number, since 2×3341442 = 223304425472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

334144 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 3 ways as a sum of consecutive naturals, for example, 1359 + ... + 1585.

2334144 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 334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347472).

334144 is an abundant number, since it is smaller than the sum of its proper divisors (360800).

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

334144 is a wasteful number, since it uses less digits than its factorization.

334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its digits is 576, while the sum is 19.

The square root of 334144 is about 578.0519007840. The cubic root of 334144 is about 69.3922904175.

Adding to 334144 its reverse (441433), we get a palindrome (775577).

The spelling of 334144 in words is "three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 227 368 454 736 908 1472 1816 3632 5221 7264 10442 14528 20884 41768 83536 167072 334144