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230526384 = 243114311013
BaseRepresentation
bin11011011110110…
…00110110110000
3121001202221202020
431233120312300
5433003321014
634512551440
75466304404
oct1557306660
9531687666
10230526384
11109142980
1265252580
13389b4a5a
142288b104
15153891a9
hexdbd8db0

230526384 has 80 divisors (see below), whose sum is σ = 651815424. Its totient is φ = 69625600.

The previous prime is 230526383. The next prime is 230526419. The reversal of 230526384 is 483625032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (230526383) 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, 227062 + ... + 228074.

Almost surely, 2230526384 is an apocalyptic number.

230526384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230526384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325907712).

230526384 is an abundant number, since it is smaller than the sum of its proper divisors (421289040).

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

230526384 is a wasteful number, since it uses less digits than its factorization.

230526384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 230526384 is about 15183.0953365906. The cubic root of 230526384 is about 613.1596194659.

The spelling of 230526384 in words is "two hundred thirty million, five hundred twenty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 431 528 862 1013 1293 1724 2026 2586 3039 3448 4052 4741 5172 6078 6896 8104 9482 10344 11143 12156 14223 16208 18964 20688 22286 24312 28446 33429 37928 44572 48624 56892 66858 75856 89144 113784 133716 178288 227568 267432 436603 534864 873206 1309809 1746412 2619618 3492824 4802633 5239236 6985648 9605266 10478472 14407899 19210532 20956944 28815798 38421064 57631596 76842128 115263192 230526384