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3824064 = 26332213
BaseRepresentation
bin1110100101100111000000
321012021122000
432211213000
51434332224
6213544000
744334606
oct16454700
97167560
103824064
112182092
121345000
13a3b77a
14717876
155080c9
hex3a59c0

3824064 has 56 divisors (see below), whose sum is σ = 11247120. Its totient is φ = 1274112.

The previous prime is 3824057. The next prime is 3824069. The reversal of 3824064 is 4604283.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3824069) 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, 622 + ... + 2834.

Almost surely, 23824064 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 3824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623560).

3824064 is an abundant number, since it is smaller than the sum of its proper divisors (7423056).

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

3824064 is a wasteful number, since it uses less digits than its factorization.

3824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3824064 is about 1955.5214138434. The cubic root of 3824064 is about 156.3777826164.

The spelling of 3824064 in words is "three million, eight hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2213 4426 6639 8852 13278 17704 19917 26556 35408 39834 53112 59751 70816 79668 106224 119502 141632 159336 212448 239004 318672 424896 478008 637344 956016 1274688 1912032 3824064