Search a number
-
+
3221768 = 2311311181
BaseRepresentation
bin1100010010100100001000
320001200102202
430102210020
51311044033
6153015332
736245624
oct14224410
96050382
103221768
111900620
1210b4548
1388a594
145dc184
154398e8
hex312908

3221768 has 32 divisors (see below), whose sum is σ = 6808320. Its totient is φ = 1416000.

The previous prime is 3221761. The next prime is 3221783. The reversal of 3221768 is 8671223.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3221768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221761) by changing a digit.

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, 2138 + ... + 3318.

It is an arithmetic number, because the mean of its divisors is an integer number (212760).

Almost surely, 23221768 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 3221768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404160).

3221768 is an abundant number, since it is smaller than the sum of its proper divisors (3586552).

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

3221768 is a wasteful number, since it uses less digits than its factorization.

3221768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1225 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 3221768 is about 1794.9284108287. The cubic root of 3221768 is about 147.6946467868.

The spelling of 3221768 in words is "three million, two hundred twenty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1181 1364 2362 2728 4724 9448 12991 25982 36611 51964 73222 103928 146444 292888 402721 805442 1610884 3221768