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3467828 = 2272131361
BaseRepresentation
bin1101001110101000110100
320112011222002
431032220310
51341432303
6202154432
741322200
oct15165064
96464862
103467828
111a59481
1211b2a18
13945590
14663b00
15487788
hex34ea34

3467828 has 36 divisors (see below), whose sum is σ = 7608132. Its totient is φ = 1370880.

The previous prime is 3467819. The next prime is 3467831. The reversal of 3467828 is 8287643.

3467828 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 2 ways, for example, as 550564 + 2917264 = 742^2 + 1708^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3467791 and 3467800.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1868 + ... + 3228.

It is an arithmetic number, because the mean of its divisors is an integer number (211337).

Almost surely, 23467828 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 3467828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804066).

3467828 is an abundant number, since it is smaller than the sum of its proper divisors (4140304).

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

3467828 is a wasteful number, since it uses less digits than its factorization.

3467828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1383 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 3467828 is about 1862.2105144156. The cubic root of 3467828 is about 151.3628104500.

The spelling of 3467828 in words is "three million, four hundred sixty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 1361 2548 2722 5444 9527 17693 19054 35386 38108 66689 70772 123851 133378 247702 266756 495404 866957 1733914 3467828