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230323728 = 24359167487
BaseRepresentation
bin11011011101001…
…11011000010000
3121001101122202110
431232213120100
5432430324403
634504345320
75464501515
oct1556473020
9531348673
10230323728
11109014698
1265175240
133894373b
142283730c
1515349103
hexdba7610

230323728 has 80 divisors (see below), whose sum is σ = 609960960. Its totient is φ = 74867328.

The previous prime is 230323721. The next prime is 230323763. The reversal of 230323728 is 827323032.

230323728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2303237283 (a number of 26 digits) contains 333 as substring.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 230323695 and 230323704.

It is not an unprimeable number, because it can be changed into a prime (230323721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472701 + ... + 473187.

It is an arithmetic number, because the mean of its divisors is an integer number (7624512).

Almost surely, 2230323728 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 230323728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304980480).

230323728 is an abundant number, since it is smaller than the sum of its proper divisors (379637232).

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

230323728 is a wasteful number, since it uses less digits than its factorization.

230323728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 230323728 is about 15176.4201312431. The cubic root of 230323728 is about 612.9798903549.

The spelling of 230323728 in words is "two hundred thirty million, three hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 167 177 236 334 354 472 487 501 668 708 944 974 1002 1336 1416 1461 1948 2004 2672 2832 2922 3896 4008 5844 7792 8016 9853 11688 19706 23376 28733 29559 39412 57466 59118 78824 81329 86199 114932 118236 157648 162658 172398 229864 236472 243987 325316 344796 459728 472944 487974 650632 689592 975948 1301264 1379184 1951896 3903792 4798411 9596822 14395233 19193644 28790466 38387288 57580932 76774576 115161864 230323728