Search a number
-
+
242676 = 22347107
BaseRepresentation
bin111011001111110100
3110022220000
4323033310
530231201
65111300
72030340
oct731764
9408800
10242676
11156365
12b8530
13865c5
1464620
154bd86
hex3b3f4

242676 has 60 divisors (see below), whose sum is σ = 731808. Its totient is φ = 68688.

The previous prime is 242659. The next prime is 242677. The reversal of 242676 is 676242.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242677) by changing a digit.

242676 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 19 ways as a sum of consecutive naturals, for example, 2215 + ... + 2321.

2242676 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 242676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365904).

242676 is an abundant number, since it is smaller than the sum of its proper divisors (489132).

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

242676 is a wasteful number, since it uses less digits than its factorization.

242676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 242676 is about 492.6215586025. The cubic root of 242676 is about 62.3747679050.

The spelling of 242676 in words is "two hundred forty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 107 108 126 162 189 214 252 321 324 378 428 567 642 749 756 963 1134 1284 1498 1926 2247 2268 2889 2996 3852 4494 5778 6741 8667 8988 11556 13482 17334 20223 26964 34668 40446 60669 80892 121338 242676