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242886312 = 23326595119
BaseRepresentation
bin11100111101000…
…10011010101000
3121221000220101100
432132202122220
5444134330222
640033521400
76006333234
oct1636423250
9557026340
10242886312
11115115099
1269413260
133b421816
14243875c4
15164cb4ac
hexe7a26a8

242886312 has 48 divisors (see below), whose sum is σ = 658944000. Its totient is φ = 80823456.

The previous prime is 242886289. The next prime is 242886313. The reversal of 242886312 is 213688242.

242886312 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 2×2428863122 = 117987521113922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (242886313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44889 + ... + 50007.

It is an arithmetic number, because the mean of its divisors is an integer number (13728000).

Almost surely, 2242886312 is an apocalyptic number.

It is an amenable number.

242886312 is an abundant number, since it is smaller than the sum of its proper divisors (416057688).

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

242886312 is a wasteful number, since it uses less digits than its factorization.

242886312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5790 (or 5783 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 242886312 is about 15584.8102972093. The cubic root of 242886312 is about 623.9278146281.

The spelling of 242886312 in words is "two hundred forty-two million, eight hundred eighty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 659 1318 1977 2636 3954 5119 5272 5931 7908 10238 11862 15357 15816 20476 23724 30714 40952 46071 47448 61428 92142 122856 184284 368568 3373421 6746842 10120263 13493684 20240526 26987368 30360789 40481052 60721578 80962104 121443156 242886312