Search a number
-
+
242045736 = 23333130469
BaseRepresentation
bin11100110110101…
…01001100101000
3121212110012022220
432123111030220
5443430430421
640003514040
75666232462
oct1633251450
9555405286
10242045736
111146a05a9
1269088920
133b1b903a
1424209132
15163b23c6
hexe6d5328

242045736 has 32 divisors (see below), whose sum is σ = 606962400. Its totient is φ = 80435520.

The previous prime is 242045719. The next prime is 242045747. The reversal of 242045736 is 637540242.

242045736 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 2×2420457362 = 117172276631563392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242045697 and 242045706.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7291 + ... + 23178.

It is an arithmetic number, because the mean of its divisors is an integer number (18967575).

Almost surely, 2242045736 is an apocalyptic number.

It is an amenable number.

242045736 is an abundant number, since it is smaller than the sum of its proper divisors (364916664).

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

242045736 is a wasteful number, since it uses less digits than its factorization.

242045736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30809 (or 30805 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 242045736 is about 15557.8191273713. The cubic root of 242045736 is about 623.2072238294.

Adding to 242045736 its reverse (637540242), we get a palindrome (879585978).

The spelling of 242045736 in words is "two hundred forty-two million, forty-five thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 331 662 993 1324 1986 2648 3972 7944 30469 60938 91407 121876 182814 243752 365628 731256 10085239 20170478 30255717 40340956 60511434 80681912 121022868 242045736