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3808064 = 261323199
BaseRepresentation
bin1110100001101101000000
321011110200102
432201231000
51433324224
6213341532
744240141
oct16415500
97143612
103808064
112171067
1213378a8
13a343c0
14711ac8
155034ae
hex3a1b40

3808064 has 56 divisors (see below), whose sum is σ = 8534400. Its totient is φ = 1672704.

The previous prime is 3808061. The next prime is 3808073. The reversal of 3808064 is 4608083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3808061) 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, 19037 + ... + 19235.

It is an arithmetic number, because the mean of its divisors is an integer number (152400).

Almost surely, 23808064 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 3808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267200).

3808064 is an abundant number, since it is smaller than the sum of its proper divisors (4726336).

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

3808064 is a wasteful number, since it uses less digits than its factorization.

3808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 3808064 is about 1951.4261451564. The cubic root of 3808064 is about 156.1593812683.

The spelling of 3808064 in words is "three million, eight hundred eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 199 208 299 368 398 416 598 736 796 832 1196 1472 1592 2392 2587 3184 4577 4784 5174 6368 9154 9568 10348 12736 18308 19136 20696 36616 41392 59501 73232 82784 119002 146464 165568 238004 292928 476008 952016 1904032 3808064