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3930784 = 251113859
BaseRepresentation
bin1110111111101010100000
321101201000121
432333222200
52001241114
6220130024
745261004
oct16775240
97351017
103930784
112245290
121396914
13a78210
14744704
15529a24
hex3bfaa0

3930784 has 48 divisors (see below), whose sum is σ = 9102240. Its totient is φ = 1647360.

The previous prime is 3930767. The next prime is 3930799. The reversal of 3930784 is 4870393.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4147 + ... + 5005.

It is an arithmetic number, because the mean of its divisors is an integer number (189630).

Almost surely, 23930784 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 3930784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551120).

3930784 is an abundant number, since it is smaller than the sum of its proper divisors (5171456).

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

3930784 is a wasteful number, since it uses less digits than its factorization.

3930784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 3930784 is about 1982.6204881419. The cubic root of 3930784 is about 157.8191596510.

The spelling of 3930784 in words is "three million, nine hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 859 1144 1718 2288 3436 4576 6872 9449 11167 13744 18898 22334 27488 37796 44668 75592 89336 122837 151184 178672 245674 302368 357344 491348 982696 1965392 3930784