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230434332 = 223236113687
BaseRepresentation
bin11011011110000…
…10011000011100
3121001121021110220
431233002120130
5432442344312
634511001340
75465442132
oct1557023034
9531537426
10230434332
1110908a7a7
1265209250
1338981b9b
1422865752
151536bc8c
hexdbc261c

230434332 has 48 divisors (see below), whose sum is σ = 570296832. Its totient is φ = 72262080.

The previous prime is 230434327. The next prime is 230434333. The reversal of 230434332 is 233434032.

230434332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230434333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9993 + ... + 23679.

It is an arithmetic number, because the mean of its divisors is an integer number (11881184).

Almost surely, 2230434332 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 230434332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285148416).

230434332 is an abundant number, since it is smaller than the sum of its proper divisors (339862500).

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

230434332 is a wasteful number, since it uses less digits than its factorization.

230434332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13778 (or 13776 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 230434332 is about 15180.0636362303. The cubic root of 230434332 is about 613.0779945593.

Adding to 230434332 its reverse (233434032), we get a palindrome (463868364).

The spelling of 230434332 in words is "two hundred thirty million, four hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 183 244 276 366 732 1403 2806 4209 5612 8418 13687 16836 27374 41061 54748 82122 164244 314801 629602 834907 944403 1259204 1669814 1888806 2504721 3339628 3777612 5009442 10018884 19202861 38405722 57608583 76811444 115217166 230434332