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3946840 = 235791249
BaseRepresentation
bin1111000011100101011000
321102112001021
433003211120
52002244330
6220332224
745355552
oct17034530
97375037
103946840
112256357
1213a4074
13a82611
1474a4d2
1552e67a
hex3c3958

3946840 has 32 divisors (see below), whose sum is σ = 9000000. Its totient is φ = 1557504.

The previous prime is 3946837. The next prime is 3946843. The reversal of 3946840 is 486493.

3946840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3946837) and next prime (3946843).

It is a junction number, because it is equal to n+sod(n) for n = 3946796 and 3946805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946843) 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, 2536 + ... + 3784.

It is an arithmetic number, because the mean of its divisors is an integer number (281250).

Almost surely, 23946840 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 3946840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500000).

3946840 is an abundant number, since it is smaller than the sum of its proper divisors (5053160).

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

3946840 is a wasteful number, since it uses less digits than its factorization.

3946840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3946840 is about 1986.6655480981. The cubic root of 3946840 is about 158.0337480653.

The spelling of 3946840 in words is "three million, nine hundred forty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1249 1580 2498 3160 4996 6245 9992 12490 24980 49960 98671 197342 394684 493355 789368 986710 1973420 3946840