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230790624 = 2532404069
BaseRepresentation
bin11011100000110…
…01010111100000
3121002021101012220
431300121113200
5433040244444
634522351040
75501454651
oct1560312740
9532241186
10230790624
11109303459
126535b480
1338a780cc
1422919528
15153dc619
hexdc195e0

230790624 has 24 divisors (see below), whose sum is σ = 605825640. Its totient is φ = 76930176.

The previous prime is 230790619. The next prime is 230790643. The reversal of 230790624 is 426097032.

230790624 is digitally balanced in base 3, 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 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 3 ways as a sum of consecutive naturals, for example, 1201939 + ... + 1202130.

It is an arithmetic number, because the mean of its divisors is an integer number (25242735).

Almost surely, 2230790624 is an apocalyptic number.

230790624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230790624 is an abundant number, since it is smaller than the sum of its proper divisors (375035016).

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

230790624 is a wasteful number, since it uses less digits than its factorization.

230790624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404082 (or 2404074 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 230790624 is about 15191.7946273638. The cubic root of 230790624 is about 613.3938073117.

The spelling of 230790624 in words is "two hundred thirty million, seven hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2404069 4808138 7212207 9616276 14424414 19232552 28848828 38465104 57697656 76930208 115395312 230790624