Search a number
-
+
230332340 = 22572613853
BaseRepresentation
bin11011011101010…
…01011110110100
3121001102002120102
431232221132310
5432431113330
634504453232
75464535600
oct1556513664
9531362512
10230332340
11109020107
126517a218
1338947634
142283a500
151534b945
hexdba97b4

230332340 has 72 divisors (see below), whose sum is σ = 572041512. Its totient is φ = 77656320.

The previous prime is 230332331. The next prime is 230332357. The reversal of 230332340 is 43233032.

It can be written as a sum of positive squares in 4 ways, for example, as 29203216 + 201129124 = 5404^2 + 14182^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 57854 + ... + 61706.

It is an arithmetic number, because the mean of its divisors is an integer number (7945021).

Almost surely, 2230332340 is an apocalyptic number.

230332340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286020756).

230332340 is an abundant number, since it is smaller than the sum of its proper divisors (341709172).

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

230332340 is a wasteful number, since it uses less digits than its factorization.

230332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 230332340 is about 15176.7038582164. The cubic root of 230332340 is about 612.9875302061.

Adding to 230332340 its reverse (43233032), we get a palindrome (273565372).

It can be divided in two parts, 2303 and 32340, that added together give a palindrome (34643).

The spelling of 230332340 in words is "two hundred thirty million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 427 490 610 854 980 1220 1708 2135 2989 3853 4270 5978 7706 8540 11956 14945 15412 19265 26971 29890 38530 53942 59780 77060 107884 134855 188797 235033 269710 377594 470066 539420 755188 940132 943985 1175165 1645231 1887970 2350330 3290462 3775940 4700660 6580924 8226155 11516617 16452310 23033234 32904620 46066468 57583085 115166170 230332340