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242332040 = 2356058301
BaseRepresentation
bin11100111000110…
…11000110001000
3121212222202001202
432130123012020
5444014111130
640014003332
76001534256
oct1634330610
9555882052
10242332040
11114876715
12691a6548
133b289452
14242815d6
151641c145
hexe71b188

242332040 has 16 divisors (see below), whose sum is σ = 545247180. Its totient is φ = 96932800.

The previous prime is 242332009. The next prime is 242332043. The reversal of 242332040 is 40233242.

It can be written as a sum of positive squares in 2 ways, for example, as 242300356 + 31684 = 15566^2 + 178^2 .

It is a super-2 number, since 2×2423320402 = 117449635221123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (242332043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3029111 + ... + 3029190.

Almost surely, 2242332040 is an apocalyptic number.

242332040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242332040 is an abundant number, since it is smaller than the sum of its proper divisors (302915140).

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

242332040 is a wasteful number, since it uses less digits than its factorization.

242332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6058312 (or 6058308 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 242332040 is about 15567.0176976838. The cubic root of 242332040 is about 623.4528474037.

Adding to 242332040 its reverse (40233242), we get a palindrome (282565282).

The spelling of 242332040 in words is "two hundred forty-two million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 6058301 12116602 24233204 30291505 48466408 60583010 121166020 242332040