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242034 = 231329107
BaseRepresentation
bin111011000101110010
3110022000020
4323011302
530221114
65104310
72025432
oct730562
9408006
10242034
11155931
12b8096
1386220
14642c2
154baa9
hex3b172

242034 has 32 divisors (see below), whose sum is σ = 544320. Its totient is φ = 71232.

The previous prime is 242009. The next prime is 242057. The reversal of 242034 is 430242.

It is a happy number.

It is a nialpdrome in base 13.

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 242034.

It is an unprimeable number.

242034 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, 2209 + ... + 2315.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2242034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

242034 is an abundant number, since it is smaller than the sum of its proper divisors (302286).

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

242034 is a wasteful number, since it uses less digits than its factorization.

242034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 242034 is about 491.9695112504. The cubic root of 242034 is about 62.3197151245.

Adding to 242034 its reverse (430242), we get a palindrome (672276).

The spelling of 242034 in words is "two hundred forty-two thousand, thirty-four".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 107 174 214 321 377 642 754 1131 1391 2262 2782 3103 4173 6206 8346 9309 18618 40339 80678 121017 242034