Search a number
-
+
242353 = 2961137
BaseRepresentation
bin111011001010110001
3110022110001
4323022301
530223403
65110001
72026366
oct731261
9408401
10242353
111560a1
12b8301
1386407
146446d
154bc1d
hex3b2b1

242353 has 8 divisors (see below), whose sum is σ = 256680. Its totient is φ = 228480.

The previous prime is 242329. The next prime is 242357. The reversal of 242353 is 353242.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 237169 = 72^2 + 487^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242353 - 213 = 234161 is a prime.

It is a d-powerful number, because it can be written as 23 + 46 + 310 + 211 + 5 + 311 .

It is a Duffinian number.

242353 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 242353.

It is not an unprimeable number, because it can be changed into a prime (242357) 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, 1701 + ... + 1837.

It is an arithmetic number, because the mean of its divisors is an integer number (32085).

2242353 is an apocalyptic number.

It is an amenable number.

242353 is a deficient number, since it is larger than the sum of its proper divisors (14327).

242353 is a wasteful number, since it uses less digits than its factorization.

242353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227.

The product of its digits is 720, while the sum is 19.

The square root of 242353 is about 492.2936115775. The cubic root of 242353 is about 62.3470821633.

Adding to 242353 its reverse (353242), we get a palindrome (595595).

Subtracting 242353 from its reverse (353242), we obtain a square (110889 = 3332).

It can be divided in two parts, 242 and 353, that added together give a palindrome (595).

The spelling of 242353 in words is "two hundred forty-two thousand, three hundred fifty-three".

Divisors: 1 29 61 137 1769 3973 8357 242353