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230432313 = 3433734789
BaseRepresentation
bin11011011110000…
…01111000111001
3121001121011201010
431233001320321
5432442313223
634510544133
75465433216
oct1557017071
9531534633
10230432313
11109089231
1265208049
1338980ca7
1422864b0d
151536b393
hexdbc1e39

230432313 has 16 divisors (see below), whose sum is σ = 315296960. Its totient is φ = 149615424.

The previous prime is 230432309. The next prime is 230432317. The reversal of 230432313 is 313234032.

It is an interprime number because it is at equal distance from previous prime (230432309) and next prime (230432317).

It is not a de Polignac number, because 230432313 - 22 = 230432309 is a prime.

It is a super-3 number, since 3×2304323133 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 230432313.

It is not an unprimeable number, because it can be changed into a prime (230432317) 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, 45723 + ... + 50511.

It is an arithmetic number, because the mean of its divisors is an integer number (19706060).

Almost surely, 2230432313 is an apocalyptic number.

It is an amenable number.

230432313 is a deficient number, since it is larger than the sum of its proper divisors (84864647).

230432313 is a wasteful number, since it uses less digits than its factorization.

230432313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 230432313 is about 15179.9971343871. The cubic root of 230432313 is about 613.0762040158.

Adding to 230432313 its reverse (313234032), we get a palindrome (543666345).

The spelling of 230432313 in words is "two hundred thirty million, four hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 43 129 373 1119 4789 14367 16039 48117 205927 617781 1786297 5358891 76810771 230432313