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230403006 = 2321719231723
BaseRepresentation
bin11011011101110…
…10101110111110
3121001112200111200
431232322232332
5432440344011
634510200330
75465251611
oct1556725676
9531480450
10230403006
11109069209
12651b30a6
1338970852
1422858178
1515362856
hexdbbabbe

230403006 has 96 divisors (see below), whose sum is σ = 580919040. Its totient is φ = 65463552.

The previous prime is 230402981. The next prime is 230403007. The reversal of 230403006 is 600304032.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230403006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230403007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132861 + ... + 134583.

It is an arithmetic number, because the mean of its divisors is an integer number (6051240).

Almost surely, 2230403006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230403006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290459520).

230403006 is an abundant number, since it is smaller than the sum of its proper divisors (350516034).

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

230403006 is a wasteful number, since it uses less digits than its factorization.

230403006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1787 counting only the distinct ones).

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

The square root of 230403006 is about 15179.0317873045. The cubic root of 230403006 is about 613.0502120215.

Adding to 230403006 its reverse (600304032), we get a palindrome (830707038).

The spelling of 230403006 in words is "two hundred thirty million, four hundred three thousand, six".

Divisors: 1 2 3 6 9 17 18 19 23 34 38 46 51 57 69 102 114 138 153 171 207 306 323 342 391 414 437 646 782 874 969 1173 1311 1723 1938 2346 2622 2907 3446 3519 3933 5169 5814 7038 7429 7866 10338 14858 15507 22287 29291 31014 32737 39629 44574 58582 65474 66861 79258 87873 98211 118887 133722 175746 196422 237774 263619 294633 356661 527238 556529 589266 673693 713322 752951 1113058 1347386 1505902 1669587 2021079 2258853 3339174 4042158 4517706 5008761 6063237 6776559 10017522 12126474 12800167 13553118 25600334 38400501 76801002 115201503 230403006