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3044064 = 25337857
BaseRepresentation
bin1011100111001011100000
312201122200010
423213023200
51234402224
6145124520
734605552
oct13471340
95648603
103044064
11179a061
121029740
1382772a
145934d2
15401e29
hex2e72e0

3044064 has 48 divisors (see below), whose sum is σ = 8216208. Its totient is φ = 986112.

The previous prime is 3044057. The next prime is 3044081. The reversal of 3044064 is 4604403.

3044064 = T387 + T388 + ... + T423.

3044064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3044064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3124 + ... + 3980.

It is an arithmetic number, because the mean of its divisors is an integer number (171171).

Almost surely, 23044064 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 3044064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108104).

3044064 is an abundant number, since it is smaller than the sum of its proper divisors (5172144).

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

3044064 is a wasteful number, since it uses less digits than its factorization.

3044064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3044064 is about 1744.7246201048. The cubic root of 3044064 is about 144.9276531678.

Adding to 3044064 its reverse (4604403), we get a palindrome (7648467).

The spelling of 3044064 in words is "three million, forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 857 888 1184 1714 1776 2571 3428 3552 5142 6856 10284 13712 20568 27424 31709 41136 63418 82272 95127 126836 190254 253672 380508 507344 761016 1014688 1522032 3044064