Search a number
-
+
3221344 = 25773197
BaseRepresentation
bin1100010010011101100000
320001122212001
430102131200
51311040334
6153013344
736244450
oct14223540
96048761
103221344
111900275
1210b4254
1388a329
145dbd60
15439714
hex312760

3221344 has 48 divisors (see below), whose sum is σ = 7384608. Its totient is φ = 1354752.

The previous prime is 3221327. The next prime is 3221353. The reversal of 3221344 is 4431223.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16254 + ... + 16450.

It is an arithmetic number, because the mean of its divisors is an integer number (153846).

Almost surely, 23221344 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 3221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692304).

3221344 is an abundant number, since it is smaller than the sum of its proper divisors (4163264).

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

3221344 is a wasteful number, since it uses less digits than its factorization.

3221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its digits is 576, while the sum is 19.

The square root of 3221344 is about 1794.8102963823. The cubic root of 3221344 is about 147.6881673964.

Adding to 3221344 its reverse (4431223), we get a palindrome (7652567).

The spelling of 3221344 in words is "three million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 197 224 292 394 511 584 788 1022 1168 1379 1576 2044 2336 2758 3152 4088 5516 6304 8176 11032 14381 16352 22064 28762 44128 57524 100667 115048 201334 230096 402668 460192 805336 1610672 3221344