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3946644 = 223413937
BaseRepresentation
bin1111000011100010010100
321102111210000
433003202110
52002243034
6220331300
745355152
oct17034224
97374700
103946644
112256199
1213a3b30
13a824c0
1474a3d2
1552e599
hex3c3894

3946644 has 60 divisors (see below), whose sum is σ = 11122804. Its totient is φ = 1213056.

The previous prime is 3946643. The next prime is 3946673. The reversal of 3946644 is 4466493.

3946644 is a `hidden beast` number, since 3 + 9 + 4 + 6 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 3572100 = 612^2 + 1890^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3946599 and 3946608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946643) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3744 + ... + 4680.

Almost surely, 23946644 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 3946644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561402).

3946644 is an abundant number, since it is smaller than the sum of its proper divisors (7176160).

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

3946644 is a wasteful number, since it uses less digits than its factorization.

3946644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 955 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3946644 is about 1986.6162185989. The cubic root of 3946644 is about 158.0311320377.

The spelling of 3946644 in words is "three million, nine hundred forty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 937 1053 1404 1874 2106 2811 3748 4212 5622 8433 11244 12181 16866 24362 25299 33732 36543 48724 50598 73086 75897 101196 109629 146172 151794 219258 303588 328887 438516 657774 986661 1315548 1973322 3946644