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3064448 = 2789269
BaseRepresentation
bin1011101100001010000000
312202200122002
423230022000
51241030243
6145403132
735022152
oct13541200
95680562
103064448
111803402
1210394a8
13833aaa
1459aad2
15407eb8
hex2ec280

3064448 has 32 divisors (see below), whose sum is σ = 6196500. Its totient is φ = 1509376.

The previous prime is 3064433. The next prime is 3064469. The reversal of 3064448 is 8444603.

3064448 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2534464 + 529984 = 1592^2 + 728^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×30644483 = 86333236769955250176, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3064448.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11258 + ... + 11526.

Almost surely, 23064448 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 3064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098250).

3064448 is an abundant number, since it is smaller than the sum of its proper divisors (3132052).

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

3064448 is an equidigital number, since it uses as much as digits as its factorization.

3064448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

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

The square root of 3064448 is about 1750.5564829505. The cubic root of 3064448 is about 145.2504273289.

The spelling of 3064448 in words is "three million, sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 269 356 538 712 1076 1424 2152 2848 4304 5696 8608 11392 17216 23941 34432 47882 95764 191528 383056 766112 1532224 3064448