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3923946 = 2321341409
BaseRepresentation
bin1110111101111111101010
321101100122100
432331333222
52001031241
6220034230
745232035
oct16757752
97340570
103923946
112240134
121392976
13a75080
1474201c
155279b6
hex3bdfea

3923946 has 48 divisors (see below), whose sum is σ = 9402120. Its totient is φ = 1175040.

The previous prime is 3923917. The next prime is 3923963. The reversal of 3923946 is 6493293.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2576025 + 1347921 = 1605^2 + 1161^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3923946.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9390 + ... + 9798.

Almost surely, 23923946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3923946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701060).

3923946 is an abundant number, since it is smaller than the sum of its proper divisors (5478174).

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

3923946 is a wasteful number, since it uses less digits than its factorization.

3923946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 468 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 3923946 is about 1980.8952521524. The cubic root of 3923946 is about 157.7275923544.

The spelling of 3923946 in words is "three million, nine hundred twenty-three thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 409 533 738 818 1066 1227 1599 2454 3198 3681 4797 5317 7362 9594 10634 15951 16769 31902 33538 47853 50307 95706 100614 150921 217997 301842 435994 653991 1307982 1961973 3923946