Search a number
-
+
297268288 = 2643109991
BaseRepresentation
bin10001101101111…
…111010001000000
3202201100210102121
4101231333101000
51102100041123
645255254024
710236511252
oct2155772100
9681323377
10297268288
11142889079
128367a314
13497825c5
142b6a1cd2
151b16e75d
hex11b7f440

297268288 has 56 divisors (see below), whose sum is σ = 609762560. Its totient is φ = 143700480.

The previous prime is 297268253. The next prime is 297268289. The reversal of 297268288 is 882862792.

297268288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (297268289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299473 + ... + 300463.

Almost surely, 2297268288 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 297268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304881280).

297268288 is an abundant number, since it is smaller than the sum of its proper divisors (312494272).

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

297268288 is a wasteful number, since it uses less digits than its factorization.

297268288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1145 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 52.

The square root of 297268288 is about 17241.4700069339. The cubic root of 297268288 is about 667.3948647462.

The spelling of 297268288 in words is "two hundred ninety-seven million, two hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 109 172 218 344 436 688 872 991 1376 1744 1982 2752 3488 3964 4687 6976 7928 9374 15856 18748 31712 37496 42613 63424 74992 85226 108019 149984 170452 216038 299968 340904 432076 681808 864152 1363616 1728304 2727232 3456608 4644817 6913216 9289634 18579268 37158536 74317072 148634144 297268288