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241332 = 223713217
BaseRepresentation
bin111010111010110100
3110021001020
4322322310
530210312
65101140
72023410
oct727264
9407036
10241332
11155353
12b77b0
1385b00
1463d40
154b78c
hex3aeb4

241332 has 72 divisors (see below), whose sum is σ = 737856. Its totient is φ = 59904.

The previous prime is 241327. The next prime is 241333. The reversal of 241332 is 233142.

It is a super-2 number, since 2×2413322 = 116482268448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 241332.

It is not an unprimeable number, because it can be changed into a prime (241333) by changing a digit.

241332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14188 + ... + 14204.

It is an arithmetic number, because the mean of its divisors is an integer number (10248).

2241332 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 241332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368928).

241332 is an abundant number, since it is smaller than the sum of its proper divisors (496524).

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

241332 is a wasteful number, since it uses less digits than its factorization.

241332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 42 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 241332 is about 491.2555343200. The cubic root of 241332 is about 62.2594056851.

Adding to 241332 its reverse (233142), we get a palindrome (474474).

The spelling of 241332 in words is "two hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 169 182 204 221 238 273 338 357 364 442 476 507 546 663 676 714 884 1014 1092 1183 1326 1428 1547 2028 2366 2652 2873 3094 3549 4641 4732 5746 6188 7098 8619 9282 11492 14196 17238 18564 20111 34476 40222 60333 80444 120666 241332