Search a number
-
+
3241392 = 243711877
BaseRepresentation
bin1100010111010110110000
320002200100120
430113112300
51312211032
6153250240
736360060
oct14272660
96080316
103241392
111914340
121103980
138964ab
146053a0
1544062c
hex3175b0

3241392 has 80 divisors (see below), whose sum is σ = 10451712. Its totient is φ = 840960.

The previous prime is 3241387. The next prime is 3241397. The reversal of 3241392 is 2931423.

3241392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3241387) and next prime (3241397).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3241397) by changing a digit.

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, 3258 + ... + 4134.

Almost surely, 23241392 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 3241392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225856).

3241392 is an abundant number, since it is smaller than the sum of its proper divisors (7210320).

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

3241392 is a wasteful number, since it uses less digits than its factorization.

3241392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 900 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 3241392 is about 1800.3866251447. The cubic root of 3241392 is about 147.9939125814.

The spelling of 3241392 in words is "three million, two hundred forty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 877 924 1232 1754 1848 2631 3508 3696 5262 6139 7016 9647 10524 12278 14032 18417 19294 21048 24556 28941 36834 38588 42096 49112 57882 67529 73668 77176 98224 115764 135058 147336 154352 202587 231528 270116 294672 405174 463056 540232 810348 1080464 1620696 3241392