Search a number
-
+
243102042 = 232231035701
BaseRepresentation
bin11100111110101…
…11000101011010
3121221102212022100
432133113011122
5444213231132
640042304230
76011222211
oct1637270532
9557385270
10243102042
11115252187
12694b8076
133b498a81
1424402078
151652037c
hexe7d715a

243102042 has 48 divisors (see below), whose sum is σ = 555055488. Its totient is φ = 76744800.

The previous prime is 243102029. The next prime is 243102053. The reversal of 243102042 is 240201342.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39792 + ... + 45492.

It is an arithmetic number, because the mean of its divisors is an integer number (11563656).

Almost surely, 2243102042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243102042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277527744).

243102042 is an abundant number, since it is smaller than the sum of its proper divisors (311953446).

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

243102042 is a wasteful number, since it uses less digits than its factorization.

243102042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835 (or 5832 counting only the distinct ones).

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

The square root of 243102042 is about 15591.7299232638. The cubic root of 243102042 is about 624.1124828044.

Adding to 243102042 its reverse (240201342), we get a palindrome (483303384).

The spelling of 243102042 in words is "two hundred forty-three million, one hundred two thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 103 138 206 207 309 414 618 927 1854 2369 4738 5701 7107 11402 14214 17103 21321 34206 42642 51309 102618 131123 262246 393369 587203 786738 1174406 1180107 1761609 2360214 3523218 5284827 10569654 13505669 27011338 40517007 81034014 121551021 243102042