Search a number
-
+
3281900 = 225237887
BaseRepresentation
bin1100100001001111101100
320011201220212
430201033230
51320010100
6154201552
736616136
oct14411754
96151825
103281900
111941816
1211232b8
138aba6b
14616056
1544c635
hex3213ec

3281900 has 36 divisors (see below), whose sum is σ = 7322448. Its totient is φ = 1275840.

The previous prime is 3281857. The next prime is 3281909. The reversal of 3281900 is 91823.

3281900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32819002 = 21541735220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3281909) 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 11 ways as a sum of consecutive naturals, for example, 3257 + ... + 4143.

Almost surely, 23281900 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 3281900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661224).

3281900 is an abundant number, since it is smaller than the sum of its proper divisors (4040548).

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

3281900 is a wasteful number, since it uses less digits than its factorization.

3281900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 3281900 is about 1811.6015014346. The cubic root of 3281900 is about 148.6078603599.

The spelling of 3281900 in words is "three million, two hundred eighty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 887 925 1774 1850 3548 3700 4435 8870 17740 22175 32819 44350 65638 88700 131276 164095 328190 656380 820475 1640950 3281900