Search a number
-
+
242414316 = 22332244577
BaseRepresentation
bin11100111001011…
…11001011101100
3121220010220221000
432130233023230
5444024224231
640015440300
76002326164
oct1634571354
9556126830
10242414316
11114922511
1269226090
133b2b7a31
14242a35a4
15164366e6
hexe72f2ec

242414316 has 24 divisors (see below), whose sum is σ = 628481840. Its totient is φ = 80804736.

The previous prime is 242414281. The next prime is 242414317. The reversal of 242414316 is 613414242.

It is a happy number.

242414316 is a `hidden beast` number, since 242 + 414 + 3 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 242414316.

It is not an unprimeable number, because it can be changed into a prime (242414317) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1122181 + ... + 1122396.

Almost surely, 2242414316 is an apocalyptic number.

It is an amenable number.

242414316 is an abundant number, since it is smaller than the sum of its proper divisors (386067524).

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

242414316 is a wasteful number, since it uses less digits than its factorization.

242414316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244590 (or 2244582 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 242414316 is about 15569.6601118971. The cubic root of 242414316 is about 623.5233971645.

Adding to 242414316 its reverse (613414242), we get a palindrome (855828558).

The spelling of 242414316 in words is "two hundred forty-two million, four hundred fourteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2244577 4489154 6733731 8978308 13467462 20201193 26934924 40402386 60603579 80804772 121207158 242414316