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4481344 = 26721429
BaseRepresentation
bin10001000110000101000000
322102200020201
4101012011000
52121400334
6240014544
753043100
oct21060500
98380221
104481344
11259099a
121601454
13c0b9aa
14849200
155d7c14
hex446140

4481344 has 42 divisors (see below), whose sum is σ = 10351770. Its totient is φ = 1919232.

The previous prime is 4481339. The next prime is 4481363. The reversal of 4481344 is 4431844.

4481344 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 only one way, i.e., 2822400 + 1658944 = 1680^2 + 1288^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

4481344 is a modest number, since divided by 1344 gives 448 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2422 + ... + 3850.

Almost surely, 24481344 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 4481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175885).

4481344 is an abundant number, since it is smaller than the sum of its proper divisors (5870426).

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

4481344 is a wasteful number, since it uses less digits than its factorization.

With its successor (4481345) it forms an eRAP, since the sums of their prime factors are consecutive (1455 and 1456).

4481344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1438 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 4481344 is about 2116.9185152008. The cubic root of 4481344 is about 164.8678954853.

The spelling of 4481344 in words is "four million, four hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1429 1568 2858 3136 5716 10003 11432 20006 22864 40012 45728 70021 80024 91456 140042 160048 280084 320096 560168 640192 1120336 2240672 4481344