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230030406 = 232233715017
BaseRepresentation
bin11011011010111…
…11110001000110
3121000211202101200
431231133301012
5432341433111
634454203330
75462140404
oct1555376106
9530752350
10230030406
11108934281
1265053546
1338870088
142279c474
15152dc256
hexdb5fc46

230030406 has 48 divisors (see below), whose sum is σ = 534160224. Its totient is φ = 71356032.

The previous prime is 230030393. The next prime is 230030483. The reversal of 230030406 is 604030032.

230030406 is a `hidden beast` number, since 230 + 0 + 30 + 406 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7810 + ... + 22826.

It is an arithmetic number, because the mean of its divisors is an integer number (11128338).

Almost surely, 2230030406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230030406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267080112).

230030406 is an abundant number, since it is smaller than the sum of its proper divisors (304129818).

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

230030406 is a wasteful number, since it uses less digits than its factorization.

230030406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15085 (or 15082 counting only the distinct ones).

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

The square root of 230030406 is about 15166.7533111078. The cubic root of 230030406 is about 612.7195656523.

Adding to 230030406 its reverse (604030032), we get a palindrome (834060438).

The spelling of 230030406 in words is "two hundred thirty million, thirty thousand, four hundred six".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 666 851 1702 2553 5106 7659 15017 15318 30034 45051 90102 135153 270306 345391 555629 690782 1036173 1111258 1666887 2072346 3108519 3333774 5000661 6217038 10001322 12779467 25558934 38338401 76676802 115015203 230030406