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6344019216 = 2432413133433
BaseRepresentation
bin1011110100010001…
…00000110100010000
3121101010101120022200
411322020200310100
5100443032103331
62525302203200
7313132162563
oct57210406420
917333346280
106344019216
112766040597
121290723500
137a1439932
144427a04da
15271e3e5e6
hex17a220d10

6344019216 has 120 divisors (see below), whose sum is σ = 18250899576. Its totient is φ = 2055905280.

The previous prime is 6344019203. The next prime is 6344019247. The reversal of 6344019216 is 6129104436.

6344019216 is a `hidden beast` number, since 6 + 34 + 401 + 9 + 216 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 659462400 + 5684556816 = 25680^2 + 75396^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1846236 + ... + 1849668.

Almost surely, 26344019216 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 6344019216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9125449788).

6344019216 is an abundant number, since it is smaller than the sum of its proper divisors (11906880360).

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

6344019216 is a wasteful number, since it uses less digits than its factorization.

6344019216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6344019216 is about 79649.3516357792. The cubic root of 6344019216 is about 1851.2063440485.

The spelling of 6344019216 in words is "six billion, three hundred forty-four million, nineteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 313 328 369 492 626 656 738 939 984 1252 1476 1878 1968 2504 2817 2952 3433 3756 5008 5634 5904 6866 7512 10299 11268 12833 13732 15024 20598 22536 25666 27464 30897 38499 41196 45072 51332 54928 61794 76998 82392 102664 115497 123588 140753 153996 164784 205328 230994 247176 281506 307992 422259 461988 494352 563012 615984 844518 923976 1074529 1126024 1266777 1689036 1847952 2149058 2252048 2533554 3223587 3378072 4298116 5067108 6447174 6756144 8596232 9670761 10134216 12894348 17192464 19341522 20268432 25788696 38683044 44055689 51577392 77366088 88111378 132167067 154732176 176222756 264334134 352445512 396501201 528668268 704891024 793002402 1057336536 1586004804 2114673072 3172009608 6344019216