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4300021344 = 2531718114557
BaseRepresentation
bin1000000000100110…
…10001111001100000
3102002200020201100210
410000103101321200
532301301140334
61550404214120
7211362402243
oct40023217140
912080221323
104300021344
111907282753
12a0009a340
13536b29138
142cb13125a
151a278a5e9
hex1004d1e60

4300021344 has 96 divisors (see below), whose sum is σ = 12018386016. Its totient is φ = 1341480960.

The previous prime is 4300021339. The next prime is 4300021357. The reversal of 4300021344 is 4431200034.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4300021344.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 288114 + ... + 302670.

It is an arithmetic number, because the mean of its divisors is an integer number (125191521).

Almost surely, 24300021344 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 4300021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6009193008).

4300021344 is an abundant number, since it is smaller than the sum of its proper divisors (7718364672).

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

4300021344 is a wasteful number, since it uses less digits than its factorization.

4300021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14768 (or 14760 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4300021344 is about 65574.5479892923. The cubic root of 4300021344 is about 1626.1360222321.

Adding to 4300021344 its reverse (4431200034), we get a palindrome (8731221378).

The spelling of 4300021344 in words is "four billion, three hundred million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 181 204 272 362 408 543 544 724 816 1086 1448 1632 2172 2896 3077 4344 5792 6154 8688 9231 12308 14557 17376 18462 24616 29114 36924 43671 49232 58228 73848 87342 98464 116456 147696 174684 232912 247469 295392 349368 465824 494938 698736 742407 989876 1397472 1484814 1979752 2634817 2969628 3959504 5269634 5939256 7904451 7919008 10539268 11878512 15808902 21078536 23757024 31617804 42157072 44791889 63235608 84314144 89583778 126471216 134375667 179167556 252942432 268751334 358335112 537502668 716670224 1075005336 1433340448 2150010672 4300021344