Search a number
-
+
230034312 = 233222314327
BaseRepresentation
bin11011011011000…
…00101110001000
3121000211221202100
431231200232020
5432342044222
634454233400
75462154654
oct1555405610
9530757670
10230034312
11108937202
1265055860
1338871aa1
142279da64
15152dd4ac
hexdb60b88

230034312 has 48 divisors (see below), whose sum is σ = 625847040. Its totient is φ = 76328928.

The previous prime is 230034283. The next prime is 230034323. The reversal of 230034312 is 213430032.

230034312 is a `hidden beast` number, since 230 + 0 + 3 + 431 + 2 = 666.

230034312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8893 + ... + 23219.

It is an arithmetic number, because the mean of its divisors is an integer number (13038480).

Almost surely, 2230034312 is an apocalyptic number.

It is an amenable number.

230034312 is an abundant number, since it is smaller than the sum of its proper divisors (395812728).

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

230034312 is a wasteful number, since it uses less digits than its factorization.

230034312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14562 (or 14555 counting only the distinct ones).

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

The square root of 230034312 is about 15166.8820790563. The cubic root of 230034312 is about 612.7230336997.

Adding to 230034312 its reverse (213430032), we get a palindrome (443464344).

The spelling of 230034312 in words is "two hundred thirty million, thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223 446 669 892 1338 1784 2007 2676 4014 5352 8028 14327 16056 28654 42981 57308 85962 114616 128943 171924 257886 343848 515772 1031544 3194921 6389842 9584763 12779684 19169526 25559368 28754289 38339052 57508578 76678104 115017156 230034312