Search a number
-
+
242478 = 23219709
BaseRepresentation
bin111011001100101110
3110022121200
4323030232
530224403
65110330
72026635
oct731456
9408550
10242478
111561a5
12b83a6
13864a2
146451c
154bca3
hex3b32e

242478 has 24 divisors (see below), whose sum is σ = 553800. Its totient is φ = 76464.

The previous prime is 242467. The next prime is 242479. The reversal of 242478 is 874242.

242478 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242479) by changing a digit.

242478 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 11 ways as a sum of consecutive naturals, for example, 13 + ... + 696.

It is an arithmetic number, because the mean of its divisors is an integer number (23075).

2242478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276900).

242478 is an abundant number, since it is smaller than the sum of its proper divisors (311322).

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

242478 is a wasteful number, since it uses less digits than its factorization.

242478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 733 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 242478 is about 492.4205519675. The cubic root of 242478 is about 62.3577993758.

The spelling of 242478 in words is "two hundred forty-two thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 709 1418 2127 4254 6381 12762 13471 26942 40413 80826 121239 242478