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230340096 = 2932737193
BaseRepresentation
bin11011011101010…
…11011000000000
3121001102111012200
431232223120000
5432431340341
634504553200
75464600320
oct1556533000
9531374180
10230340096
11109025a18
1265182800
133894b01c
142283d280
151534ddb6
hexdbab600

230340096 has 240 divisors, whose sum is σ = 784321824. Its totient is φ = 63700992.

The previous prime is 230340073. The next prime is 230340107. The reversal of 230340096 is 690043032.

230340096 is a `hidden beast` number, since 230 + 340 + 0 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1193376 + ... + 1193568.

Almost surely, 2230340096 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 230340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392160912).

230340096 is an abundant number, since it is smaller than the sum of its proper divisors (553981728).

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

230340096 is a wasteful number, since it uses less digits than its factorization.

230340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

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

The square root of 230340096 is about 15176.9593792696. The cubic root of 230340096 is about 612.9944105222.

The spelling of 230340096 in words is "two hundred thirty million, three hundred forty thousand, ninety-six".