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242328 = 23323439
BaseRepresentation
bin111011001010011000
3110022102010
4323022120
530223303
65105520
72026332
oct731230
9408363
10242328
11156079
12b82a0
13863b8
1464452
154bc03
hex3b298

242328 has 32 divisors (see below), whose sum is σ = 633600. Its totient is φ = 77088.

The previous prime is 242309. The next prime is 242329. The reversal of 242328 is 823242.

242328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (19800).

2242328 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 242328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316800).

242328 is an abundant number, since it is smaller than the sum of its proper divisors (391272).

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

242328 is a wasteful number, since it uses less digits than its factorization.

242328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 242328 is about 492.2682195714. The cubic root of 242328 is about 62.3449382786.

The spelling of 242328 in words is "two hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 439 552 878 1317 1756 2634 3512 5268 10097 10536 20194 30291 40388 60582 80776 121164 242328