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230054304 = 2532396399
BaseRepresentation
bin11011011011001…
…01100110100000
3121000212222011210
431231211212200
5432343214204
634454510120
75462300154
oct1555454640
9530788153
10230054304
11108950227
1265065340
133887ac0c
14227a7064
15152e4389
hexdb659a0

230054304 has 24 divisors (see below), whose sum is σ = 603892800. Its totient is φ = 76684736.

The previous prime is 230054281. The next prime is 230054309. The reversal of 230054304 is 403450032.

It is a happy number.

230054304 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 (24).

It is not an unprimeable number, because it can be changed into a prime (230054309) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1198104 + ... + 1198295.

It is an arithmetic number, because the mean of its divisors is an integer number (25162200).

Almost surely, 2230054304 is an apocalyptic number.

230054304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230054304 is an abundant number, since it is smaller than the sum of its proper divisors (373838496).

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

230054304 is a wasteful number, since it uses less digits than its factorization.

230054304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396412 (or 2396404 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 230054304 is about 15167.5411322996. The cubic root of 230054304 is about 612.7407835214.

The spelling of 230054304 in words is "two hundred thirty million, fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2396399 4792798 7189197 9585596 14378394 19171192 28756788 38342384 57513576 76684768 115027152 230054304