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232340031 = 327111791873
BaseRepresentation
bin11011101100100…
…11101000111111
3121012012002121100
431312103220333
5433434340111
635015504143
75520600120
oct1566235077
9535162540
10232340031
1110a171560
1265988053
133919b411
1422c00047
15155e6756
hexdd93a3f

232340031 has 48 divisors (see below), whose sum is σ = 420975360. Its totient is φ = 119957760.

The previous prime is 232339981. The next prime is 232340039. The reversal of 232340031 is 130043232.

232340031 is a `hidden beast` number, since 232 + 3 + 400 + 31 = 666.

It is not a de Polignac number, because 232340031 - 211 = 232337983 is a prime.

It is a super-2 number, since 2×2323400312 = 107963780010161922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232339986 and 232340013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232340039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123111 + ... + 124983.

It is an arithmetic number, because the mean of its divisors is an integer number (8770320).

Almost surely, 2232340031 is an apocalyptic number.

232340031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

232340031 is a deficient number, since it is larger than the sum of its proper divisors (188635329).

232340031 is a wasteful number, since it uses less digits than its factorization.

232340031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 232340031 is about 15242.7041892179. The cubic root of 232340031 is about 614.7634148491.

Adding to 232340031 its reverse (130043232), we get a palindrome (362383263).

The spelling of 232340031 in words is "two hundred thirty-two million, three hundred forty thousand, thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 179 231 537 693 1253 1611 1873 1969 3759 5619 5907 11277 13111 13783 16857 17721 20603 39333 41349 61809 117999 124047 144221 185427 335267 432663 1005801 1297989 2346869 3017403 3687937 7040607 11063811 21121821 25815559 33191433 77446677 232340031