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3198208 = 2813312
BaseRepresentation
bin1100001100110100000000
320000111010011
430030310000
51304320313
6152314304
736120136
oct14146400
96014104
103198208
111894952
1210a2994
1387c940
145d3756
1543293d
hex30cd00

3198208 has 54 divisors (see below), whose sum is σ = 7103922. Its totient is φ = 1428480.

The previous prime is 3198199. The next prime is 3198257. The reversal of 3198208 is 8028913.

It can be written as a sum of positive squares in only one way, i.e., 2214144 + 984064 = 1488^2 + 992^2 .

It is a super-2 number, since 2×31982082 = 20457068822528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 3198208.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 103153 + ... + 103183.

Almost surely, 23198208 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 3198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551961).

3198208 is an abundant number, since it is smaller than the sum of its proper divisors (3905714).

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

3198208 is an equidigital number, since it uses as much as digits as its factorization.

3198208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 3198208 is about 1788.3534326301. The cubic root of 3198208 is about 147.3337473741. Note that the first 3 decimals are identical.

The spelling of 3198208 in words is "three million, one hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 806 832 961 992 1612 1664 1922 1984 3224 3328 3844 3968 6448 7688 7936 12493 12896 15376 24986 25792 30752 49972 51584 61504 99944 103168 123008 199888 246016 399776 799552 1599104 3198208