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3946680 = 2332519577
BaseRepresentation
bin1111000011100010111000
321102111211100
433003202320
52002243210
6220331400
745355233
oct17034270
97374740
103946680
112256221
1213a3b60
13a8251a
1474a41a
1552e5c0
hex3c38b8

3946680 has 96 divisors (see below), whose sum is σ = 13525200. Its totient is φ = 995328.

The previous prime is 3946673. The next prime is 3946681. The reversal of 3946680 is 866493.

3946680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946681) 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 23 ways as a sum of consecutive naturals, for example, 6552 + ... + 7128.

Almost surely, 23946680 is an apocalyptic number.

3946680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3946680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762600).

3946680 is an abundant number, since it is smaller than the sum of its proper divisors (9578520).

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

3946680 is a wasteful number, since it uses less digits than its factorization.

3946680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3946680 is about 1986.6252792110. The cubic root of 3946680 is about 158.0316125391.

The spelling of 3946680 in words is "three million, nine hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 577 684 760 855 1140 1154 1368 1710 1731 2280 2308 2885 3420 3462 4616 5193 5770 6840 6924 8655 10386 10963 11540 13848 17310 20772 21926 23080 25965 32889 34620 41544 43852 51930 54815 65778 69240 87704 98667 103860 109630 131556 164445 197334 207720 219260 263112 328890 394668 438520 493335 657780 789336 986670 1315560 1973340 3946680