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3961328 = 247113313
BaseRepresentation
bin1111000111000111110000
321110020220212
433013013300
52003230303
6220523252
745446030
oct17070760
97406825
103961328
112266228
1213b0528
13a890a7
147518c0
15533ad8
hex3c71f0

3961328 has 40 divisors (see below), whose sum is σ = 8877408. Its totient is φ = 1677312.

The previous prime is 3961327. The next prime is 3961333. The reversal of 3961328 is 8231693.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3961294 and 3961303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12500 + ... + 12812.

Almost surely, 23961328 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 3961328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438704).

3961328 is an abundant number, since it is smaller than the sum of its proper divisors (4916080).

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

3961328 is a wasteful number, since it uses less digits than its factorization.

3961328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 3961328 is about 1990.3085187980. The cubic root of 3961328 is about 158.2268812307.

The spelling of 3961328 in words is "three million, nine hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 226 313 452 626 791 904 1252 1582 1808 2191 2504 3164 4382 5008 6328 8764 12656 17528 35056 35369 70738 141476 247583 282952 495166 565904 990332 1980664 3961328