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3967668 = 2232307359
BaseRepresentation
bin1111001000101010110100
321110120121200
433020222310
52003431133
6221012500
745503355
oct17105264
97416550
103967668
11226aa71
1213b4130
13a8bc43
14753d2c
15535913
hex3c8ab4

3967668 has 36 divisors (see below), whose sum is σ = 10090080. Its totient is φ = 1314576.

The previous prime is 3967651. The next prime is 3967669. The reversal of 3967668 is 8667693.

3967668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10873 + ... + 11231.

It is an arithmetic number, because the mean of its divisors is an integer number (280280).

Almost surely, 23967668 is an apocalyptic number.

It is an amenable number.

3967668 is an abundant number, since it is smaller than the sum of its proper divisors (6122412).

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

3967668 is a wasteful number, since it uses less digits than its factorization.

3967668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 671 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3967668 is about 1991.9005999296. The cubic root of 3967668 is about 158.3112488742.

The spelling of 3967668 in words is "three million, nine hundred sixty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 307 359 614 718 921 1077 1228 1436 1842 2154 2763 3231 3684 4308 5526 6462 11052 12924 110213 220426 330639 440852 661278 991917 1322556 1983834 3967668