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3924368 = 24737947
BaseRepresentation
bin1110111110000110010000
321101101012222
432332012100
52001034433
6220040212
745233210
oct16760620
97341188
103924368
112240488
121393068
13a75316
14742240
15527b98
hex3be190

3924368 has 40 divisors (see below), whose sum is σ = 8933952. Its totient is φ = 1634688.

The previous prime is 3924353. The next prime is 3924409. The reversal of 3924368 is 8634293.

It is a happy number.

3924368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 3671 + ... + 4617.

Almost surely, 23924368 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 3924368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466976).

3924368 is an abundant number, since it is smaller than the sum of its proper divisors (5009584).

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

3924368 is a wasteful number, since it uses less digits than its factorization.

3924368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 3924368 is about 1981.0017667837. The cubic root of 3924368 is about 157.7332464127.

The spelling of 3924368 in words is "three million, nine hundred twenty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 947 1036 1894 2072 3788 4144 6629 7576 13258 15152 26516 35039 53032 70078 106064 140156 245273 280312 490546 560624 981092 1962184 3924368