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4334666368 = 2747838681
BaseRepresentation
bin1000000100101110…
…11100001010000000
3102012002102212101211
410002113130022000
532334133310433
61554042535504
7212263025164
oct40227341200
912162385354
104334666368
111924895aaa
12a0b807594
13541069456
142d198cca4
151a58308cd
hex1025dc280

4334666368 has 64 divisors (see below), whose sum is σ = 8926485120. Its totient is φ = 2095421440.

The previous prime is 4334666351. The next prime is 4334666377. The reversal of 4334666368 is 8636664334.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×43346663682 = 37578665043740622848, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 494988 + ... + 503668.

It is an arithmetic number, because the mean of its divisors is an integer number (139476330).

Almost surely, 24334666368 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 4334666368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463242560).

4334666368 is an abundant number, since it is smaller than the sum of its proper divisors (4591818752).

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

4334666368 is an equidigital number, since it uses as much as digits as its factorization.

4334666368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8825 (or 8813 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 49.

The square root of 4334666368 is about 65838.1832070114. The cubic root of 4334666368 is about 1630.4915736684.

The spelling of 4334666368 in words is "four billion, three hundred thirty-four million, six hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 64 83 94 128 166 188 332 376 664 752 1328 1504 2656 3008 3901 5312 6016 7802 8681 10624 15604 17362 31208 34724 62416 69448 124832 138896 249664 277792 408007 499328 555584 720523 816014 1111168 1441046 1632028 2882092 3264056 5764184 6528112 11528368 13056224 23056736 26112448 33864581 46113472 52224896 67729162 92226944 135458324 270916648 541833296 1083666592 2167333184 4334666368