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3201198 = 2371113241
BaseRepresentation
bin1100001101100010101110
320000122012220
430031202232
51304414243
6152340210
736131640
oct14154256
96018186
103201198
111897120
1210a4666
13881100
145d4890
15433783
hex30d8ae

3201198 has 96 divisors (see below), whose sum is σ = 8854272. Its totient is φ = 748800.

The previous prime is 3201197. The next prime is 3201199. The reversal of 3201198 is 8911023.

3201198 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3201197) and next prime (3201199).

It is a super-3 number, since 3×32011983 = 98414449019033323176, which contains 333 as substring.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201197) 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 47 ways as a sum of consecutive naturals, for example, 78058 + ... + 78098.

It is an arithmetic number, because the mean of its divisors is an integer number (92232).

Almost surely, 23201198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427136).

3201198 is an abundant number, since it is smaller than the sum of its proper divisors (5653074).

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

3201198 is a wasteful number, since it uses less digits than its factorization.

3201198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 3201198 is about 1789.1892018453. The cubic root of 3201198 is about 147.3796471085.

The spelling of 3201198 in words is "three million, two hundred one thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 41 42 66 77 78 82 91 123 143 154 169 182 231 246 273 286 287 338 429 451 462 507 533 546 574 858 861 902 1001 1014 1066 1183 1353 1599 1722 1859 2002 2366 2706 3003 3157 3198 3549 3718 3731 5577 5863 6006 6314 6929 7098 7462 9471 11154 11193 11726 13013 13858 17589 18942 20787 22386 26026 35178 39039 41041 41574 48503 76219 78078 82082 97006 123123 145509 152438 228657 246246 291018 457314 533533 1067066 1600599 3201198