Search a number
-
+
4219344 = 24339767
BaseRepresentation
bin10000000110000111010000
321221100212000
4100012013100
52040004334
6230234000
750602203
oct20060720
97840760
104219344
112422068
1214b5900
13b4966c
147bb93a
15585299
hex4061d0

4219344 has 40 divisors (see below), whose sum is σ = 12112320. Its totient is φ = 1406304.

The previous prime is 4219333. The next prime is 4219357. The reversal of 4219344 is 4439124.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 4452 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (302808).

Almost surely, 24219344 is an apocalyptic number.

It is an amenable number.

4219344 is an abundant number, since it is smaller than the sum of its proper divisors (7892976).

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

4219344 is a wasteful number, since it uses less digits than its factorization.

4219344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9784 (or 9772 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4219344 is about 2054.1041843100. The cubic root of 4219344 is about 161.5901850066.

The spelling of 4219344 in words is "four million, two hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 9767 19534 29301 39068 58602 78136 87903 117204 156272 175806 234408 263709 351612 468816 527418 703224 1054836 1406448 2109672 4219344