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3966704 = 247107331
BaseRepresentation
bin1111001000011011110000
321110112021222
433020123300
52003413304
6221004212
745500510
oct17103360
97415258
103966704
11226a275
1213b3668
13a8b681
14753840
155354be
hex3c86f0

3966704 has 40 divisors (see below), whose sum is σ = 8892288. Its totient is φ = 1679040.

The previous prime is 3966701. The next prime is 3966719. The reversal of 3966704 is 4076693.

3966704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966701) 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 7 ways as a sum of consecutive naturals, for example, 11819 + ... + 12149.

Almost surely, 23966704 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 3966704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446144).

3966704 is an abundant number, since it is smaller than the sum of its proper divisors (4925584).

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

3966704 is a wasteful number, since it uses less digits than its factorization.

3966704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 3966704 is about 1991.6586052835. The cubic root of 3966704 is about 158.2984265308.

The spelling of 3966704 in words is "three million, nine hundred sixty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 331 428 662 749 856 1324 1498 1712 2317 2648 2996 4634 5296 5992 9268 11984 18536 35417 37072 70834 141668 247919 283336 495838 566672 991676 1983352 3966704