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230430096 = 2435134797
BaseRepresentation
bin11011011110000…
…01010110010000
3121001121001200000
431233001112100
5432442230341
634510530000
75465423601
oct1557012620
9531531600
10230430096
111090875a6
1265206900
133897cc90
1422863da8
151536a8b6
hexdbc1590

230430096 has 240 divisors, whose sum is σ = 743119104. Its totient is φ = 68677632.

The previous prime is 230430091. The next prime is 230430103. The reversal of 230430096 is 690034032.

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

It is not an unprimeable number, because it can be changed into a prime (230430091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2375520 + ... + 2375616.

Almost surely, 2230430096 is an apocalyptic number.

230430096 is a gapful number since it is divisible by the number (26) 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 230430096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371559552).

230430096 is an abundant number, since it is smaller than the sum of its proper divisors (512689008).

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

230430096 is a wasteful number, since it uses less digits than its factorization.

230430096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 230430096 is about 15179.9241104822. The cubic root of 230430096 is about 613.0742378646.

It can be divided in two parts, 2304 and 30096, that added together give a square (32400 = 1802).

The spelling of 230430096 in words is "two hundred thirty million, four hundred thirty thousand, ninety-six".