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299013264 = 24321121312
BaseRepresentation
bin10001110100101…
…001010010010000
3202211122110002100
4101310221102100
51103021411024
645400520400
710260366534
oct2164512220
9684573070
10299013264
11143870100
1284180100
1349c43934
142b9d7bc4
151b3b67c9
hex11d29490

299013264 has 135 divisors (see below), whose sum is σ = 926887507. Its totient is φ = 89918400.

The previous prime is 299013217. The next prime is 299013293. The reversal of 299013264 is 462310992.

The square root of 299013264 is 17292.

It is a perfect power (a square), and thus also a powerful number.

299013264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2282479 + ... + 2282609.

Almost surely, 2299013264 is an apocalyptic number.

299013264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

299013264 is the 17292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299013264

299013264 is an abundant number, since it is smaller than the sum of its proper divisors (627874243).

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

299013264 is a wasteful number, since it uses less digits than its factorization.

299013264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The cubic root of 299013264 is about 668.6981954921.

Multiplying 299013264 by its sum of digits (36), we get a square (10764477504 = 1037522).

299013264 divided by its sum of digits (36) gives a square (8305924 = 28822).

The spelling of 299013264 in words is "two hundred ninety-nine million, thirteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 131 132 144 176 198 242 262 264 363 393 396 484 524 528 726 786 792 968 1048 1089 1179 1441 1452 1572 1584 1936 2096 2178 2358 2882 2904 3144 4323 4356 4716 5764 5808 6288 8646 8712 9432 11528 12969 15851 17161 17292 17424 18864 23056 25938 31702 34322 34584 47553 51483 51876 63404 68644 69168 95106 102966 103752 126808 137288 142659 154449 188771 190212 205932 207504 253616 274576 285318 308898 377542 380424 411864 566313 570636 617796 755084 760848 823728 1132626 1141272 1235592 1510168 1698939 2076481 2265252 2282544 2471184 3020336 3397878 4152962 4530504 6229443 6795756 8305924 9061008 12458886 13591512 16611848 18688329 24917772 27183024 33223696 37376658 49835544 74753316 99671088 149506632 299013264