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232306312 = 23719317043
BaseRepresentation
bin11011101100010…
…11011010001000
3121012010101100111
431312023122020
5433432300222
635015044104
75520366610
oct1566133210
9535111314
10232306312
1110a149197
1265970634
1339188c74
1422bd1a40
15155db777
hexdd8b688

232306312 has 64 divisors (see below), whose sum is σ = 540979200. Its totient is φ = 91264320.

The previous prime is 232306301. The next prime is 232306351. The reversal of 232306312 is 213603232.

232306312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29463 + ... + 36505.

It is an arithmetic number, because the mean of its divisors is an integer number (8452800).

Almost surely, 2232306312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232306312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270489600).

232306312 is an abundant number, since it is smaller than the sum of its proper divisors (308672888).

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

232306312 is a wasteful number, since it uses less digits than its factorization.

232306312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7106 (or 7102 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 232306312 is about 15241.5980789417. The cubic root of 232306312 is about 614.7336736542.

Adding to 232306312 its reverse (213603232), we get a palindrome (445909544).

The spelling of 232306312 in words is "two hundred thirty-two million, three hundred six thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 434 532 589 868 1064 1178 1736 2356 4123 4712 7043 8246 14086 16492 28172 32984 49301 56344 98602 133817 197204 218333 267634 394408 436666 535268 873332 936719 1070536 1528331 1746664 1873438 3056662 3746876 4148327 6113324 7493752 8296654 12226648 16593308 29038289 33186616 58076578 116153156 232306312