Search a number
-
+
3220704 = 253253211
BaseRepresentation
bin1100010010010011100000
320001121222100
430102103200
51311030304
6153010400
736242544
oct14222340
96047870
103220704
1118aa843
1210b3a00
13889c56
145dba24
15439439
hex3124e0

3220704 has 72 divisors (see below), whose sum is σ = 9375912. Its totient is φ = 1048320.

The previous prime is 3220703. The next prime is 3220727. The reversal of 3220704 is 4070223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15159 + ... + 15369.

It is an arithmetic number, because the mean of its divisors is an integer number (130221).

Almost surely, 23220704 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 3220704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687956).

3220704 is an abundant number, since it is smaller than the sum of its proper divisors (6155208).

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

3220704 is a wasteful number, since it uses less digits than its factorization.

3220704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3220704 is about 1794.6319957027. The cubic root of 3220704 is about 147.6783861077.

Adding to 3220704 its reverse (4070223), we get a palindrome (7290927).

It can be divided in two parts, 32 and 20704, that added together give a 4-th power (20736 = 124).

The spelling of 3220704 in words is "three million, two hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 211 212 288 318 422 424 477 633 636 844 848 954 1266 1272 1688 1696 1899 1908 2532 2544 3376 3798 3816 5064 5088 6752 7596 7632 10128 11183 15192 15264 20256 22366 30384 33549 44732 60768 67098 89464 100647 134196 178928 201294 268392 357856 402588 536784 805176 1073568 1610352 3220704