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3946040 = 235717829
BaseRepresentation
bin1111000011011000111000
321102110221122
433003120320
52002233130
6220324412
745353330
oct17033070
97373848
103946040
11225579a
1213a3708
13a82147
1474a0c0
1552e2e5
hex3c3638

3946040 has 64 divisors (see below), whose sum is σ = 10756800. Its totient is φ = 1271808.

The previous prime is 3946039. The next prime is 3946051. The reversal of 3946040 is 406493.

3946040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4346 + ... + 5174.

It is an arithmetic number, because the mean of its divisors is an integer number (168075).

Almost surely, 23946040 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 3946040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378400).

3946040 is an abundant number, since it is smaller than the sum of its proper divisors (6810760).

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

3946040 is a wasteful number, since it uses less digits than its factorization.

3946040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3946040 is about 1986.4641954991. The cubic root of 3946040 is about 158.0230698568.

The spelling of 3946040 in words is "three million, nine hundred forty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 829 952 1190 1658 2380 3316 4145 4760 5803 6632 8290 11606 14093 16580 23212 28186 29015 33160 46424 56372 58030 70465 98651 112744 116060 140930 197302 232120 281860 394604 493255 563720 789208 986510 1973020 3946040