Search a number
-
+
4316112 = 243397103
BaseRepresentation
bin10000011101101111010000
322010021121000
4100131233100
52101103422
6232302000
751454263
oct20355720
98107530
104316112
112488839
121541900
13b81718
14804cda
155a3cac
hex41dbd0

4316112 has 80 divisors (see below), whose sum is σ = 12638080. Its totient is φ = 1410048.

The previous prime is 4316107. The next prime is 4316129. The reversal of 4316112 is 2116134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41853 + ... + 41955.

It is an arithmetic number, because the mean of its divisors is an integer number (157976).

Almost surely, 24316112 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 4316112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319040).

4316112 is an abundant number, since it is smaller than the sum of its proper divisors (8321968).

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

4316112 is a wasteful number, since it uses less digits than its factorization.

4316112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 4316112 is about 2077.5254511076. The cubic root of 4316112 is about 162.8161828134.

The spelling of 4316112 in words is "four million, three hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 103 108 144 194 206 216 291 309 388 412 432 582 618 776 824 873 927 1164 1236 1552 1648 1746 1854 2328 2472 2619 2781 3492 3708 4656 4944 5238 5562 6984 7416 9991 10476 11124 13968 14832 19982 20952 22248 29973 39964 41904 44496 59946 79928 89919 119892 159856 179838 239784 269757 359676 479568 539514 719352 1079028 1438704 2158056 4316112