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3421656 = 233373173
BaseRepresentation
bin1101000011010111011000
320102211122000
431003113120
51333443111
6201201000
741040450
oct15032730
96384560
103421656
111a27817
121190160
1392a564
14650d60
15478c56
hex3435d8

3421656 has 128 divisors (see below), whose sum is σ = 11366400. Its totient is φ = 933120.

The previous prime is 3421637. The next prime is 3421657. The reversal of 3421656 is 6561243.

3421656 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 656 = 666.

3421656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421657) 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 31 ways as a sum of consecutive naturals, for example, 46836 + ... + 46908.

It is an arithmetic number, because the mean of its divisors is an integer number (88800).

Almost surely, 23421656 is an apocalyptic number.

3421656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683200).

3421656 is an abundant number, since it is smaller than the sum of its proper divisors (7944744).

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

3421656 is a wasteful number, since it uses less digits than its factorization.

3421656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3421656 is about 1849.7718778271. The cubic root of 3421656 is about 150.6880391884.

Adding to 3421656 its reverse (6561243), we get a palindrome (9982899).

The spelling of 3421656 in words is "three million, four hundred twenty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 73 84 93 108 124 126 146 168 186 189 216 217 219 248 252 279 292 372 378 434 438 504 511 558 584 651 657 744 756 837 868 876 1022 1116 1302 1314 1512 1533 1674 1736 1752 1953 1971 2044 2232 2263 2604 2628 3066 3348 3906 3942 4088 4526 4599 5208 5256 5859 6132 6696 6789 7812 7884 9052 9198 11718 12264 13578 13797 15624 15768 15841 18104 18396 20367 23436 27156 27594 31682 36792 40734 46872 47523 54312 55188 61101 63364 81468 95046 110376 122202 126728 142569 162936 190092 244404 285138 380184 427707 488808 570276 855414 1140552 1710828 3421656