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299729664 = 28321310007
BaseRepresentation
bin10001110111011…
…000001100000000
3202212222211210200
4101313120030000
51103212322124
645424125200
710266442263
oct2167301400
9685884720
10299729664
1114420a373
1284466800
134a134a40
142bb42cda
151b4a8bc9
hex11dd8300

299729664 has 108 divisors (see below), whose sum is σ = 930764016. Its totient is φ = 92215296.

The previous prime is 299729663. The next prime is 299729707. The reversal of 299729664 is 466927992.

299729664 is a `hidden beast` number, since 299 + 7 + 296 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 299729664.

It is not an unprimeable number, because it can be changed into a prime (299729663) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24949 + ... + 34955.

Almost surely, 2299729664 is an apocalyptic number.

299729664 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 299729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465382008).

299729664 is an abundant number, since it is smaller than the sum of its proper divisors (631034352).

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

299729664 is a wasteful number, since it uses less digits than its factorization.

299729664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 10025 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 299729664 is about 17312.7023887087. The cubic root of 299729664 is about 669.2318098462.

The spelling of 299729664 in words is "two hundred ninety-nine million, seven hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 10007 14976 20014 29952 30021 40028 60042 80056 90063 120084 130091 160112 180126 240168 260182 320224 360252 390273 480336 520364 640448 720504 780546 960672 1040728 1170819 1280896 1441008 1561092 1921344 2081456 2341638 2561792 2882016 3122184 3842688 4162912 4683276 5764032 6244368 7685376 8325824 9366552 11528064 12488736 16651648 18733104 23056128 24977472 33303296 37466208 49954944 74932416 99909888 149864832 299729664