Search a number
-
+
230453343 = 3417292199
BaseRepresentation
bin11011011110001…
…11000001011111
3121001122020120000
431233013001133
5432444001333
634511225343
75465551431
oct1557070137
9531566500
10230453343
111090a300a
1265218253
133898a733
142286c651
1515372713
hexdbc705f

230453343 has 60 divisors (see below), whose sum is σ = 379407600. Its totient is φ = 138910464.

The previous prime is 230453341. The next prime is 230453369. The reversal of 230453343 is 343354032.

It is a happy number.

It is not a de Polignac number, because 230453343 - 21 = 230453341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230453341) 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 59 ways as a sum of consecutive naturals, for example, 1157958 + ... + 1158156.

It is an arithmetic number, because the mean of its divisors is an integer number (6323460).

Almost surely, 2230453343 is an apocalyptic number.

230453343 is a deficient number, since it is larger than the sum of its proper divisors (148954257).

230453343 is a wasteful number, since it uses less digits than its factorization.

230453343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 230453343 is about 15180.6898064614. The cubic root of 230453343 is about 613.0948538891.

The spelling of 230453343 in words is "two hundred thirty million, four hundred fifty-three thousand, three hundred forty-three".

Divisors: 1 3 9 17 27 29 51 81 87 153 199 261 459 493 597 783 841 1377 1479 1791 2349 2523 3383 4437 5373 5771 7569 10149 13311 14297 16119 17313 22707 30447 39933 42891 51939 68121 91341 98107 128673 155817 167359 274023 294321 386019 467451 502077 882963 1158057 1506231 2648889 2845103 4518693 7946667 8535309 13556079 25605927 76817781 230453343