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4368384 = 2113379
BaseRepresentation
bin10000101010100000000000
322012221022000
4100222200000
52104242014
6233344000
752062546
oct20524000
98187260
104368384
112514039
121568000
13b9c457
14819d96
155b4509
hex42a800

4368384 has 96 divisors (see below), whose sum is σ = 13104000. Its totient is φ = 1437696.

The previous prime is 4368379. The next prime is 4368389. The reversal of 4368384 is 4838634.

It is an interprime number because it is at equal distance from previous prime (4368379) and next prime (4368389).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (4368389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55257 + ... + 55335.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

Almost surely, 24368384 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 4368384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552000).

4368384 is an abundant number, since it is smaller than the sum of its proper divisors (8735616).

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

4368384 is an equidigital number, since it uses as much as digits as its factorization.

4368384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4368384 is about 2090.0679414794. The cubic root of 4368384 is about 163.4708305845.

The spelling of 4368384 in words is "four million, three hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 192 216 237 256 288 316 384 432 474 512 576 632 711 768 864 948 1024 1152 1264 1422 1536 1728 1896 2048 2133 2304 2528 2844 3072 3456 3792 4266 4608 5056 5688 6144 6912 7584 8532 9216 10112 11376 13824 15168 17064 18432 20224 22752 27648 30336 34128 40448 45504 55296 60672 68256 80896 91008 121344 136512 161792 182016 242688 273024 364032 485376 546048 728064 1092096 1456128 2184192 4368384