Search a number
-
+
230134320 = 2432513231069
BaseRepresentation
bin11011011011110…
…01001000110000
3121001001000221100
431231321020300
5432403244240
634500324400
75463052353
oct1555711060
9531030840
10230134320
111089a5359
12650a3700
13388a8470
14227c829a
151530ce30
hexdb79230

230134320 has 240 divisors, whose sum is σ = 869319360. Its totient is φ = 54134784.

The previous prime is 230134313. The next prime is 230134337. The reversal of 230134320 is 23431032.

230134320 is a `hidden beast` number, since 2 + 301 + 343 + 20 = 666.

230134320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230134293 and 230134302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214746 + ... + 215814.

It is an arithmetic number, because the mean of its divisors is an integer number (3622164).

Almost surely, 2230134320 is an apocalyptic number.

230134320 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 230134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434659680).

230134320 is an abundant number, since it is smaller than the sum of its proper divisors (639185040).

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

230134320 is a wasteful number, since it uses less digits than its factorization.

230134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230134320 is about 15170.1786410049. The cubic root of 230134320 is about 612.8118151321.

Adding to 230134320 its reverse (23431032), we get a palindrome (253565352).

The spelling of 230134320 in words is "two hundred thirty million, one hundred thirty-four thousand, three hundred twenty".