Search a number
-
+
230344452 = 223313359457
BaseRepresentation
bin11011011101011…
…00011100000100
3121001102201012000
431232230130010
5432432010302
634505025300
75464616112
oct1556543404
9531381160
10230344452
11109029218
1265185230
133894ccc0
1422840ab2
151535031c
hexdbac704

230344452 has 96 divisors (see below), whose sum is σ = 646329600. Its totient is φ = 70523136.

The previous prime is 230344409. The next prime is 230344463. The reversal of 230344452 is 254443032.

230344452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503808 + ... + 504264.

It is an arithmetic number, because the mean of its divisors is an integer number (6732600).

Almost surely, 2230344452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230344452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323164800).

230344452 is an abundant number, since it is smaller than the sum of its proper divisors (415985148).

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

230344452 is a wasteful number, since it uses less digits than its factorization.

230344452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 230344452 is about 15177.1028855971. The cubic root of 230344452 is about 612.9982746444.

Adding to 230344452 its reverse (254443032), we get a palindrome (484787484).

The spelling of 230344452 in words is "two hundred thirty million, three hundred forty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 359 457 468 702 718 914 1077 1371 1404 1436 1828 2154 2742 3231 4113 4308 4667 5484 5941 6462 8226 9334 9693 11882 12339 12924 14001 16452 17823 18668 19386 23764 24678 28002 35646 38772 42003 49356 53469 56004 71292 84006 106938 126009 160407 164063 168012 213876 252018 320814 328126 492189 504036 641628 656252 984378 1476567 1968756 2132819 2953134 4265638 4429701 5906268 6398457 8531276 8859402 12796914 17718804 19195371 25593828 38390742 57586113 76781484 115172226 230344452