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3920384 = 29131931
BaseRepresentation
bin1110111101001000000000
321101011202102
432331020000
52000423014
6220005532
745215456
oct16751000
97334672
103920384
112238496
1213908a8
13a73570
147409d6
155268de
hex3bd200

3920384 has 80 divisors (see below), whose sum is σ = 9166080. Its totient is φ = 1658880.

The previous prime is 3920383. The next prime is 3920401. The reversal of 3920384 is 4830293.

It is not an unprimeable number, because it can be changed into a prime (3920383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126449 + ... + 126479.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

Almost surely, 23920384 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 3920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583040).

3920384 is an abundant number, since it is smaller than the sum of its proper divisors (5245696).

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

3920384 is a wasteful number, since it uses less digits than its factorization.

3920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 3920384 is about 1979.9959595918. The cubic root of 3920384 is about 157.6798516557.

Subtracting 3920384 from its reverse (4830293), we obtain a palindrome (909909).

The spelling of 3920384 in words is "three million, nine hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 64 76 104 124 128 152 208 247 248 256 304 403 416 494 496 512 589 608 806 832 988 992 1178 1216 1612 1664 1976 1984 2356 2432 3224 3328 3952 3968 4712 4864 6448 6656 7657 7904 7936 9424 9728 12896 15314 15808 15872 18848 25792 30628 31616 37696 51584 61256 63232 75392 103168 122512 126464 150784 206336 245024 301568 490048 980096 1960192 3920384