Search a number
-
+
3409812 = 2232721933
BaseRepresentation
bin1101000000011110010100
320102020101100
431000132110
51333103222
6201030100
740661100
oct15003624
96366340
103409812
111a1992a
121185330
13925053
1464a900
154754ac
hex340794

3409812 has 54 divisors (see below), whose sum is σ = 10031658. Its totient is φ = 973728.

The previous prime is 3409811. The next prime is 3409853. The reversal of 3409812 is 2189043.

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 298116 = 1764^2 + 546^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3409811) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 798 + ... + 2730.

Almost surely, 23409812 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 3409812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015829).

3409812 is an abundant number, since it is smaller than the sum of its proper divisors (6621846).

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

3409812 is a wasteful number, since it uses less digits than its factorization.

3409812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3409812 is about 1846.5676267064. The cubic root of 3409812 is about 150.5139702193.

The spelling of 3409812 in words is "three million, four hundred nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 1933 3866 5799 7732 11598 13531 17397 23196 27062 34794 40593 54124 69588 81186 94717 121779 162372 189434 243558 284151 378868 487116 568302 852453 1136604 1704906 3409812