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3968361 = 321737701
BaseRepresentation
bin1111001000110101101001
321110121120100
433020311221
52003441421
6221020013
745505365
oct17106551
97417510
103968361
112270541
1213b4609
13a8c357
147542a5
15535c26
hex3c8d69

3968361 has 24 divisors (see below), whose sum is σ = 6242184. Its totient is φ = 2419200.

The previous prime is 3968357. The next prime is 3968381. The reversal of 3968361 is 1638693.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2702736 + 1265625 = 1644^2 + 1125^2 .

It is not a de Polignac number, because 3968361 - 22 = 3968357 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968381) 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, 5311 + ... + 6011.

It is an arithmetic number, because the mean of its divisors is an integer number (260091).

Almost surely, 23968361 is an apocalyptic number.

It is an amenable number.

3968361 is a deficient number, since it is larger than the sum of its proper divisors (2273823).

3968361 is a wasteful number, since it uses less digits than its factorization.

3968361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 758 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3968361 is about 1992.0745467979. The cubic root of 3968361 is about 158.3204653131.

The spelling of 3968361 in words is "three million, nine hundred sixty-eight thousand, three hundred sixty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 701 1887 2103 5661 6309 11917 25937 35751 77811 107253 233433 440929 1322787 3968361