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3963084 = 2232383173
BaseRepresentation
bin1111000111100011001100
321110100022220
433013203030
52003304314
6220535340
745454116
oct17074314
97410286
103963084
112267584
1213b1550
13a89b28
147523b6
155343a9
hex3c78cc

3963084 has 48 divisors (see below), whose sum is σ = 9821952. Its totient is φ = 1241152.

The previous prime is 3963041. The next prime is 3963119. The reversal of 3963084 is 4803693.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22822 + ... + 22994.

It is an arithmetic number, because the mean of its divisors is an integer number (204624).

Almost surely, 23963084 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 3963084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910976).

3963084 is an abundant number, since it is smaller than the sum of its proper divisors (5858868).

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

3963084 is a wasteful number, since it uses less digits than its factorization.

3963084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3963084 is about 1990.7496075599. The cubic root of 3963084 is about 158.2502576807.

The spelling of 3963084 in words is "three million, nine hundred sixty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 12 23 46 69 83 92 138 166 173 249 276 332 346 498 519 692 996 1038 1909 2076 3818 3979 5727 7636 7958 11454 11937 14359 15916 22908 23874 28718 43077 47748 57436 86154 172308 330257 660514 990771 1321028 1981542 3963084