Search a number
-
+
4187344 = 2474109
BaseRepresentation
bin1111111110010011010000
321212201221211
433332103100
52032443334
6225425504
750410000
oct17762320
97781854
104187344
112400017
12149b294
13b37c25
147b0000
1557aa64
hex3fe4d0

4187344 has 50 divisors (see below), whose sum is σ = 9551410. Its totient is φ = 1778112.

The previous prime is 4187333. The next prime is 4187363. The reversal of 4187344 is 4437814.

It can be written as a sum of positive squares in only one way, i.e., 3841600 + 345744 = 1960^2 + 588^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38362 + ... + 38470.

Almost surely, 24187344 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 4187344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775705).

4187344 is an abundant number, since it is smaller than the sum of its proper divisors (5364066).

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

4187344 is an equidigital number, since it uses as much as digits as its factorization.

4187344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 4187344 is about 2046.3000757465. The cubic root of 4187344 is about 161.1806416052.

The spelling of 4187344 in words is "four million, one hundred eighty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 109 112 196 218 343 392 436 686 763 784 872 1372 1526 1744 2401 2744 3052 4802 5341 5488 6104 9604 10682 12208 19208 21364 37387 38416 42728 74774 85456 149548 261709 299096 523418 598192 1046836 2093672 4187344