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242004 = 22374367
BaseRepresentation
bin111011000101010100
3110021222010
4323011110
530221004
65104220
72025360
oct730524
9407863
10242004
11155904
12b8070
13861c9
14642a0
154ba89
hex3b154

242004 has 48 divisors (see below), whose sum is σ = 670208. Its totient is φ = 66528.

The previous prime is 241993. The next prime is 242009. The reversal of 242004 is 400242.

242004 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242009) 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, 3579 + ... + 3645.

2242004 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 242004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335104).

242004 is an abundant number, since it is smaller than the sum of its proper divisors (428204).

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

242004 is a wasteful number, since it uses less digits than its factorization.

242004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 242004 is about 491.9390206113. The cubic root of 242004 is about 62.3171401850.

Adding to 242004 its reverse (400242), we get a palindrome (642246).

The spelling of 242004 in words is "two hundred forty-two thousand, four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 67 84 86 129 134 172 201 258 268 301 402 469 516 602 804 903 938 1204 1407 1806 1876 2814 2881 3612 5628 5762 8643 11524 17286 20167 34572 40334 60501 80668 121002 242004