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3943040 = 27561101
BaseRepresentation
bin1111000010101010000000
321102022211112
433002222000
52002134130
6220302452
745341513
oct17025200
97368745
103943040
112253512
1213a1a28
13a8097a
14748d7a
1552d495
hex3c2a80

3943040 has 64 divisors (see below), whose sum is σ = 9675720. Its totient is φ = 1536000.

The previous prime is 3943021. The next prime is 3943061. The reversal of 3943040 is 403493.

It can be written as a sum of positive squares in 4 ways, for example, as 3125824 + 817216 = 1768^2 + 904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 3942997 and 3943015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38990 + ... + 39090.

Almost surely, 23943040 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 3943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837860).

3943040 is an abundant number, since it is smaller than the sum of its proper divisors (5732680).

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

3943040 is a wasteful number, since it uses less digits than its factorization.

3943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 3943040 is about 1985.7089414111. The cubic root of 3943040 is about 157.9830137163.

The spelling of 3943040 in words is "three million, nine hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 101 122 128 160 202 244 305 320 404 488 505 610 640 808 976 1010 1220 1616 1952 2020 2440 3232 3904 4040 4880 6161 6464 7808 8080 9760 12322 12928 16160 19520 24644 30805 32320 39040 49288 61610 64640 98576 123220 197152 246440 394304 492880 788608 985760 1971520 3943040