Base | Representation |
---|---|
bin | 10111101001011… |
… | …11110100000000 |
3 | 111211021120200100 |
4 | 23310233310000 |
5 | 401241023304 |
6 | 31403522400 |
7 | 4626113511 |
oct | 1364576400 |
9 | 454246610 |
10 | 198376704 |
11 | a1a84399 |
12 | 56529400 |
13 | 32139486 |
14 | 1c4bca08 |
15 | 12638439 |
hex | bd2fd00 |
198376704 has 108 divisors (see below), whose sum is σ = 591891300. Its totient is φ = 63823872.
The previous prime is 198376699. The next prime is 198376709. The reversal of 198376704 is 407673891.
198376704 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 (198376699) and next prime (198376709).
It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 161798400 = 6048^2 + 12720^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 198376704.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (198376709) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65332 + ... + 68300.
It is an arithmetic number, because the mean of its divisors is an integer number (5480475).
Almost surely, 2198376704 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 198376704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295945650).
198376704 is an abundant number, since it is smaller than the sum of its proper divisors (393514596).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198376704 is a wasteful number, since it uses less digits than its factorization.
198376704 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3020 (or 3003 counting only the distinct ones).
The product of its (nonzero) digits is 254016, while the sum is 45.
The square root of 198376704 is about 14084.6265126201. The cubic root of 198376704 is about 583.2170655531.
It can be divided in two parts, 1983 and 76704, that added together give a palindrome (78687).
The spelling of 198376704 in words is "one hundred ninety-eight million, three hundred seventy-six thousand, seven hundred four".
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