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6326350368 = 2531313936469
BaseRepresentation
bin1011110010001010…
…00111001000100000
3121022220010220012220
411321011013020200
5100424021202433
62523431351040
7312526043112
oct57105071040
917286126186
106326350368
112757072738
121286822480
1379a8915b0
144402c13b2
152705ee2b3
hex179147220

6326350368 has 96 divisors (see below), whose sum is σ = 18013262400. Its totient is φ = 1932512256.

The previous prime is 6326350367. The next prime is 6326350411. The reversal of 6326350368 is 8630536236.

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

It is not an unprimeable number, because it can be changed into a prime (6326350363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155238 + ... + 191706.

It is an arithmetic number, because the mean of its divisors is an integer number (187638150).

Almost surely, 26326350368 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 6326350368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9006631200).

6326350368 is an abundant number, since it is smaller than the sum of its proper divisors (11686912032).

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

6326350368 is a wasteful number, since it uses less digits than its factorization.

6326350368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36634 (or 36626 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The square root of 6326350368 is about 79538.3578407299. The cubic root of 6326350368 is about 1849.4861361212.

The spelling of 6326350368 in words is "six billion, three hundred twenty-six million, three hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 139 156 208 278 312 416 417 556 624 834 1112 1248 1668 1807 2224 3336 3614 4448 5421 6672 7228 10842 13344 14456 21684 28912 36469 43368 57824 72938 86736 109407 145876 173472 218814 291752 437628 474097 583504 875256 948194 1167008 1422291 1750512 1896388 2844582 3501024 3792776 5069191 5689164 7585552 10138382 11378328 15171104 15207573 20276764 22756656 30415146 40553528 45513312 60830292 65899483 81107056 121660584 131798966 162214112 197698449 243321168 263597932 395396898 486642336 527195864 790793796 1054391728 1581587592 2108783456 3163175184 6326350368