Search a number
-
+
239688342 = 233311311093
BaseRepresentation
bin11100100100101…
…01101010010110
3121201000102121000
432102111222112
5442330011332
635441204130
75640213555
oct1622255226
9551012530
10239688342
11113330443
1268330646
133a87202a
1423b93d9c
1516098b7c
hexe495a96

239688342 has 64 divisors (see below), whose sum is σ = 554526720. Its totient is φ = 76658400.

The previous prime is 239688341. The next prime is 239688343. The reversal of 239688342 is 243886932.

239688342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (239688341) and next prime (239688343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239688341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218748 + ... + 219840.

It is an arithmetic number, because the mean of its divisors is an integer number (8664480).

Almost surely, 2239688342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239688342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277263360).

239688342 is an abundant number, since it is smaller than the sum of its proper divisors (314838378).

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

239688342 is a wasteful number, since it uses less digits than its factorization.

239688342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1260 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 239688342 is about 15481.8713985099. The cubic root of 239688342 is about 621.1773863718.

The spelling of 239688342 in words is "two hundred thirty-nine million, six hundred eighty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 131 186 262 279 393 558 786 837 1093 1179 1674 2186 2358 3279 3537 4061 6558 7074 8122 9837 12183 19674 24366 29511 33883 36549 59022 67766 73098 101649 109647 143183 203298 219294 286366 304947 429549 609894 859098 914841 1288647 1829682 2577294 3865941 4438673 7731882 8877346 13316019 26632038 39948057 79896114 119844171 239688342