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3443728 = 243153131
BaseRepresentation
bin1101001000110000010000
320110221220111
431020300100
51340144403
6201451104
741162011
oct15106020
96427814
103443728
111a42362
1211a0a94
13937612
14659008
1548056d
hex348c10

3443728 has 40 divisors (see below), whose sum is σ = 7070976. Its totient is φ = 1622400.

The previous prime is 3443723. The next prime is 3443729. The reversal of 3443728 is 8273443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 3443728.

It is not an unprimeable number, because it can be changed into a prime (3443723) 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, 26223 + ... + 26353.

Almost surely, 23443728 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 3443728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488).

3443728 is an abundant number, since it is smaller than the sum of its proper divisors (3627248).

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

3443728 is a wasteful number, since it uses less digits than its factorization.

3443728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The square root of 3443728 is about 1855.7284284076. The cubic root of 3443728 is about 151.0113582965.

The spelling of 3443728 in words is "three million, four hundred forty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 31 53 62 106 124 131 212 248 262 424 496 524 848 1048 1643 2096 3286 4061 6572 6943 8122 13144 13886 16244 26288 27772 32488 55544 64976 111088 215233 430466 860932 1721864 3443728