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241668 = 223272137
BaseRepresentation
bin111011000000000100
3110021111200
4323000010
530213133
65102500
72024400
oct730004
9407450
10241668
11155629
12b7a30
1385ccb
1464100
154b913
hex3b004

241668 has 54 divisors (see below), whose sum is σ = 715806. Its totient is φ = 68544.

The previous prime is 241667. The next prime is 241679. The reversal of 241668 is 866142.

It can be written as a sum of positive squares in only one way, i.e., 213444 + 28224 = 462^2 + 168^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241663) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1696 + ... + 1832.

2241668 is an apocalyptic number.

241668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357903).

241668 is an abundant number, since it is smaller than the sum of its proper divisors (474138).

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

241668 is a wasteful number, since it uses less digits than its factorization.

241668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 241668 is about 491.5973962502. The cubic root of 241668 is about 62.2882863135.

It can be divided in two parts, 241 and 668, that added together give a palindrome (909).

The spelling of 241668 in words is "two hundred forty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 137 147 196 252 274 294 411 441 548 588 822 882 959 1233 1644 1764 1918 2466 2877 3836 4932 5754 6713 8631 11508 13426 17262 20139 26852 34524 40278 60417 80556 120834 241668