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230339382 = 23713735779
BaseRepresentation
bin11011011101010…
…11001100110110
3121001102110020020
431232223030312
5432431330012
634504550010
75464565250
oct1556531466
9531373206
10230339382
11109025429
1265182306
133894a8c0
142283ccd0
151534da8c
hexdbab336

230339382 has 64 divisors (see below), whose sum is σ = 574855680. Its totient is φ = 59906304.

The previous prime is 230339381. The next prime is 230339399. The reversal of 230339382 is 283933032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230339381) 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 31 ways as a sum of consecutive naturals, for example, 36969 + ... + 42747.

It is an arithmetic number, because the mean of its divisors is an integer number (8982120).

Almost surely, 2230339382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230339382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287427840).

230339382 is an abundant number, since it is smaller than the sum of its proper divisors (344516298).

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

230339382 is a wasteful number, since it uses less digits than its factorization.

230339382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877.

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 230339382 is about 15176.9358567532. The cubic root of 230339382 is about 612.9937771422.

The spelling of 230339382 in words is "two hundred thirty million, three hundred thirty-nine thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 73 78 91 146 182 219 273 438 511 546 949 1022 1533 1898 2847 3066 5694 5779 6643 11558 13286 17337 19929 34674 39858 40453 75127 80906 121359 150254 225381 242718 421867 450762 525889 843734 1051778 1265601 1577667 2531202 2953069 3155334 5484271 5906138 8859207 10968542 16452813 17718414 32905626 38389897 76779794 115169691 230339382