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230768604 = 2232111930671
BaseRepresentation
bin11011100000100…
…11111111011100
3121002020021000100
431300103333130
5433034043404
634522101100
75501333523
oct1560237734
9532207010
10230768604
11109298960
126534a790
1338a6b091
14229114ba
15153d5d39
hexdc13fdc

230768604 has 72 divisors (see below), whose sum is σ = 669876480. Its totient is φ = 66247200.

The previous prime is 230768521. The next prime is 230768609. The reversal of 230768604 is 406867032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230768609) by changing a digit.

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, 7812 + ... + 22859.

It is an arithmetic number, because the mean of its divisors is an integer number (9303840).

Almost surely, 2230768604 is an apocalyptic number.

It is an amenable number.

230768604 is an abundant number, since it is smaller than the sum of its proper divisors (439107876).

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

230768604 is a wasteful number, since it uses less digits than its factorization.

230768604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30711 (or 30706 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 230768604 is about 15191.0698767401. The cubic root of 230768604 is about 613.3742984873.

The spelling of 230768604 in words is "two hundred thirty million, seven hundred sixty-eight thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 30671 61342 92013 122684 184026 276039 337381 368052 552078 582749 674762 1012143 1104156 1165498 1349524 1748247 2024286 2330996 3036429 3496494 4048572 5244741 6072858 6410239 6992988 10489482 12145716 12820478 19230717 20978964 25640956 38461434 57692151 76922868 115384302 230768604