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3224052 = 223213832
BaseRepresentation
bin1100010011000111110100
320001210120100
430103013310
51311132202
6153034100
736255366
oct14230764
96053510
103224052
111902307
1210b5930
1388b630
145dcd36
1543a41c
hex3131f4

3224052 has 54 divisors (see below), whose sum is σ = 8883602. Its totient is φ = 980064.

The previous prime is 3224051. The next prime is 3224057. The reversal of 3224052 is 2504223.

3224052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2232036 + 992016 = 1494^2 + 996^2 .

It is a super-2 number, since 2×32240522 = 20789022597408, which contains 22 as substring.

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 (3224051) 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 17 ways as a sum of consecutive naturals, for example, 38803 + ... + 38885.

Almost surely, 23224052 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 3224052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441801).

3224052 is an abundant number, since it is smaller than the sum of its proper divisors (5659550).

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

3224052 is a wasteful number, since it uses less digits than its factorization.

3224052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3224052 is about 1795.5645351811. The cubic root of 3224052 is about 147.7295401424.

Adding to 3224052 its reverse (2504223), we get a palindrome (5728275).

The spelling of 3224052 in words is "three million, two hundred twenty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 117 156 166 234 249 332 468 498 747 996 1079 1494 2158 2988 3237 4316 6474 6889 9711 12948 13778 19422 20667 27556 38844 41334 62001 82668 89557 124002 179114 248004 268671 358228 537342 806013 1074684 1612026 3224052