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242046 = 232717113
BaseRepresentation
bin111011000101111110
3110022000200
4323011332
530221141
65104330
72025450
oct730576
9408020
10242046
11155942
12b80a6
138622c
14642d0
154bab6
hex3b17e

242046 has 48 divisors (see below), whose sum is σ = 640224. Its totient is φ = 64512.

The previous prime is 242009. The next prime is 242057. The reversal of 242046 is 640242.

It is a super-2 number, since 2×2420462 = 117172532232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

242046 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 23 ways as a sum of consecutive naturals, for example, 2086 + ... + 2198.

It is an arithmetic number, because the mean of its divisors is an integer number (13338).

2242046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320112).

242046 is an abundant number, since it is smaller than the sum of its proper divisors (398178).

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

242046 is a wasteful number, since it uses less digits than its factorization.

242046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242046 is about 491.9817069770. The cubic root of 242046 is about 62.3207450407.

Adding to 242046 its sum of digits (18), we get a square (242064 = 4922).

Adding to 242046 its reverse (640242), we get a palindrome (882288).

The spelling of 242046 in words is "two hundred forty-two thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 113 119 126 153 226 238 306 339 357 678 714 791 1017 1071 1582 1921 2034 2142 2373 3842 4746 5763 7119 11526 13447 14238 17289 26894 34578 40341 80682 121023 242046