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230323104 = 2532112329109
BaseRepresentation
bin11011011101001…
…11001110100000
3121001101121220100
431232213032200
5432430314404
634504342400
75464466634
oct1556471640
9531347810
10230323104
11109014180
1265174a00
133894337b
1422836dc4
1515348d39
hexdba73a0

230323104 has 288 divisors, whose sum is σ = 778377600. Its totient is φ = 63866880.

The previous prime is 230323099. The next prime is 230323147. The reversal of 230323104 is 401323032.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 2113002 + ... + 2113110.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2230323104 is an apocalyptic number.

230323104 is a gapful number since it is divisible by the number (24) 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 230323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389188800).

230323104 is an abundant number, since it is smaller than the sum of its proper divisors (548054496).

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

230323104 is a wasteful number, since it uses less digits than its factorization.

230323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

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

The square root of 230323104 is about 15176.3995730213. The cubic root of 230323104 is about 612.9793367865.

Adding to 230323104 its reverse (401323032), we get a palindrome (631646136).

The spelling of 230323104 in words is "two hundred thirty million, three hundred twenty-three thousand, one hundred four".