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3844064 = 2571312
BaseRepresentation
bin1110101010011111100000
321020022001202
432222133200
51441002224
6214220332
744450120
oct16523740
97208052
103844064
112196114
1213546a8
13a478c3
14720c80
1550deae
hex3aa7e0

3844064 has 36 divisors (see below), whose sum is σ = 8715672. Its totient is φ = 1634880.

The previous prime is 3844021. The next prime is 3844067. The reversal of 3844064 is 4604483.

3844064 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

3844064 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3844067) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29279 + ... + 29409.

It is an arithmetic number, because the mean of its divisors is an integer number (242102).

Almost surely, 23844064 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 3844064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357836).

3844064 is an abundant number, since it is smaller than the sum of its proper divisors (4871608).

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

3844064 is an equidigital number, since it uses as much as digits as its factorization.

3844064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 3844064 is about 1960.6284706695. The cubic root of 3844064 is about 156.6499293019.

The spelling of 3844064 in words is "three million, eight hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 917 1048 1834 2096 3668 4192 7336 14672 17161 29344 34322 68644 120127 137288 240254 274576 480508 549152 961016 1922032 3844064