Search a number
-
+
4221344 = 251953131
BaseRepresentation
bin10000000110100110100000
321221110121002
4100012212200
52040040334
6230251132
750611061
oct20064640
97843532
104221344
112423616
1214b6aa8
13b4a54a
147bc568
15585b7e
hex4069a0

4221344 has 48 divisors (see below), whose sum is σ = 8981280. Its totient is φ = 1946880.

The previous prime is 4221337. The next prime is 4221361. The reversal of 4221344 is 4431224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32159 + ... + 32289.

It is an arithmetic number, because the mean of its divisors is an integer number (187110).

Almost surely, 24221344 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 4221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490640).

4221344 is an abundant number, since it is smaller than the sum of its proper divisors (4759936).

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

4221344 is a wasteful number, since it uses less digits than its factorization.

4221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its digits is 768, while the sum is 20.

The square root of 4221344 is about 2054.5909568573. The cubic root of 4221344 is about 161.6157126179.

Adding to 4221344 its reverse (4431224), we get a palindrome (8652568).

The spelling of 4221344 in words is "four million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 53 76 106 131 152 212 262 304 424 524 608 848 1007 1048 1696 2014 2096 2489 4028 4192 4978 6943 8056 9956 13886 16112 19912 27772 32224 39824 55544 79648 111088 131917 222176 263834 527668 1055336 2110672 4221344