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3808322336 = 257213238123
BaseRepresentation
bin1110001011111110…
…0110001100100000
3100211102000211010102
43202333212030200
530244412303321
61425521321532
7163242130400
oct34277461440
910742024112
103808322336
111684775a35
128a34962a8
13488cbc490
14281ada800
15174511c0b
hexe2fe6320

3808322336 has 144 divisors (see below), whose sum is σ = 9802223424. Its totient is φ = 1440907776.

The previous prime is 3808322239. The next prime is 3808322339. The reversal of 3808322336 is 6332238083.

It is a happy number.

3808322336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3808322336.

It is not an unprimeable number, because it can be changed into a prime (3808322339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464771 + ... + 472893.

It is an arithmetic number, because the mean of its divisors is an integer number (68070996).

Almost surely, 23808322336 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 3808322336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901111712).

3808322336 is an abundant number, since it is smaller than the sum of its proper divisors (5993901088).

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

3808322336 is a wasteful number, since it uses less digits than its factorization.

3808322336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8183 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 3808322336 is about 61711.6061693422. The cubic root of 3808322336 is about 1561.6291243071.

The spelling of 3808322336 in words is "three billion, eight hundred eight million, three hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 49 52 56 91 92 98 104 112 161 182 184 196 208 224 299 322 364 368 392 416 598 637 644 728 736 784 1127 1196 1274 1288 1456 1568 2093 2254 2392 2548 2576 2912 4186 4508 4784 5096 5152 8123 8372 9016 9568 10192 14651 16246 16744 18032 20384 29302 32492 33488 36064 56861 58604 64984 66976 105599 113722 117208 129968 186829 211198 227444 234416 259936 373658 398027 422396 454888 468832 739193 747316 796054 844792 909776 1307803 1478386 1494632 1592108 1689584 1819552 2428777 2615606 2956772 2989264 3184216 3379168 4857554 5174351 5231212 5913544 5978528 6368432 9154621 9715108 10348702 10462424 11827088 12736864 17001439 18309242 19430216 20697404 20924848 23654176 34002878 36618484 38860432 41394808 41849696 68005756 73236968 77720864 82789616 119010073 136011512 146473936 165579232 238020146 272023024 292947872 476040292 544046048 952080584 1904161168 3808322336