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299568384 = 2832130021
BaseRepresentation
bin10001110110110…
…000110100000000
3202212200122120100
4101312300310000
51103142142014
645420442400
710265201133
oct2166606400
9685618510
10299568384
1114410a185
12843a9400
134a0a94cb
142bb0021a
151b476009
hex11db0d00

299568384 has 54 divisors (see below), whose sum is σ = 863736146. Its totient is φ = 99855360.

The previous prime is 299568371. The next prime is 299568389. The reversal of 299568384 is 483865992.

It can be written as a sum of positive squares in only one way, i.e., 167961600 + 131606784 = 12960^2 + 11472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 299568384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299568389) 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 5 ways as a sum of consecutive naturals, for example, 62707 + ... + 67314.

Almost surely, 2299568384 is an apocalyptic number.

299568384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

299568384 is an abundant number, since it is smaller than the sum of its proper divisors (564167762).

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

299568384 is a wasteful number, since it uses less digits than its factorization.

299568384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130043 (or 130026 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 299568384 is about 17308.0439102748. The cubic root of 299568384 is about 669.1117538044. Note that the first 3 decimals are identical.

The spelling of 299568384 in words is "two hundred ninety-nine million, five hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 130021 260042 390063 520084 780126 1040168 1170189 1560252 2080336 2340378 3120504 4160672 4680756 6241008 8321344 9361512 12482016 16642688 18723024 24964032 33285376 37446048 49928064 74892096 99856128 149784192 299568384