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230723728 = 24172411217
BaseRepresentation
bin11011100000010…
…01000010010000
3121002010222110021
431300021002100
5433031124403
634521113224
75501055634
oct1560110220
9532128407
10230723728
11109268174
1265328814
1338a53821
14228dcdc4
15153c78bd
hexdc09090

230723728 has 60 divisors (see below), whose sum is σ = 486851652. Its totient is φ = 105840640.

The previous prime is 230723723. The next prime is 230723743. The reversal of 230723728 is 827327032.

It is a happy number.

230723728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1140624 + 229583104 = 1068^2 + 15152^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 230723693 and 230723702.

It is not an unprimeable number, because it can be changed into a prime (230723723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188976 + ... + 190192.

Almost surely, 2230723728 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 230723728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243425826).

230723728 is an abundant number, since it is smaller than the sum of its proper divisors (256127924).

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

230723728 is a wasteful number, since it uses less digits than its factorization.

230723728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 230723728 is about 15189.5927529345. The cubic root of 230723728 is about 613.3345363345.

The spelling of 230723728 in words is "two hundred thirty million, seven hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 289 328 578 656 697 1156 1217 1394 2312 2434 2788 4624 4868 5576 9736 11152 11849 19472 20689 23698 41378 47396 49897 82756 94792 99794 165512 189584 199588 331024 351713 399176 703426 798352 848249 1406852 1696498 2813704 3392996 5627408 6785992 13571984 14420233 28840466 57680932 115361864 230723728