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3433728 = 28317263
BaseRepresentation
bin1101000110010100000000
320110110012010
431012110000
51334334403
6201332520
741120604
oct15062400
96413163
103433728
111a358a1
121197140
13932bbc
14655504
1547c603
hex346500

3433728 has 72 divisors (see below), whose sum is σ = 9713088. Its totient is φ = 1073152.

The previous prime is 3433723. The next prime is 3433753. The reversal of 3433728 is 8273343.

It is a d-powerful number, because it can be written as 311 + 48 + 313 + 313 + 73 + 211 + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 3433695 and 3433704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3433723) 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, 12925 + ... + 13187.

It is an arithmetic number, because the mean of its divisors is an integer number (134904).

Almost surely, 23433728 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 3433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856544).

3433728 is an abundant number, since it is smaller than the sum of its proper divisors (6279360).

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

3433728 is a wasteful number, since it uses less digits than its factorization.

3433728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 3433728 is about 1853.0321098135. The cubic root of 3433728 is about 150.8650461555.

The spelling of 3433728 in words is "three million, four hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 263 272 384 408 526 544 768 789 816 1052 1088 1578 1632 2104 2176 3156 3264 4208 4352 4471 6312 6528 8416 8942 12624 13056 13413 16832 17884 25248 26826 33664 35768 50496 53652 67328 71536 100992 107304 143072 201984 214608 286144 429216 572288 858432 1144576 1716864 3433728