Search a number
-
+
242310 = 23541197
BaseRepresentation
bin111011001010000110
3110022101110
4323022012
530223220
65105450
72026305
oct731206
9408343
10242310
11156062
12b8286
13863a3
146443c
154bbe0
hex3b286

242310 has 32 divisors (see below), whose sum is σ = 598752. Its totient is φ = 62720.

The previous prime is 242309. The next prime is 242329. The reversal of 242310 is 13242.

242310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2423102 = 117428272200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (18711).

2242310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299376).

242310 is an abundant number, since it is smaller than the sum of its proper divisors (356442).

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

242310 is a wasteful number, since it uses less digits than its factorization.

242310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 242310 is about 492.2499365160. The cubic root of 242310 is about 62.3433945903.

Adding to 242310 its reverse (13242), we get a palindrome (255552).

The spelling of 242310 in words is "two hundred forty-two thousand, three hundred ten", and thus it is an iban number.

Divisors: 1 2 3 5 6 10 15 30 41 82 123 197 205 246 394 410 591 615 985 1182 1230 1970 2955 5910 8077 16154 24231 40385 48462 80770 121155 242310