Base | Representation |
---|---|
bin | 10101101001101… |
… | …110100100100100 |
3 | 221022112112022100 |
4 | 111221232210210 |
5 | 1220443311241 |
6 | 100013532100 |
7 | 12000442425 |
oct | 2551564444 |
9 | 838475270 |
10 | 363260196 |
11 | 177061842 |
12 | a17a4030 |
13 | 5a349980 |
14 | 3635d64c |
15 | 21d579b6 |
hex | 15a6e924 |
363260196 has 72 divisors (see below), whose sum is σ = 997771320. Its totient is φ = 110767104.
The previous prime is 363260147. The next prime is 363260197. The reversal of 363260196 is 691062363.
363260196 is a `hidden beast` number, since 3 + 632 + 6 + 0 + 19 + 6 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 72080100 + 291180096 = 8490^2 + 17064^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 363260196.
It is not an unprimeable number, because it can be changed into a prime (363260197) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49450 + ... + 56318.
It is an arithmetic number, because the mean of its divisors is an integer number (13857935).
Almost surely, 2363260196 is an apocalyptic number.
363260196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 363260196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498885660).
363260196 is an abundant number, since it is smaller than the sum of its proper divisors (634511124).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
363260196 is a wasteful number, since it uses less digits than its factorization.
363260196 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7005 (or 7000 counting only the distinct ones).
The product of its (nonzero) digits is 34992, while the sum is 36.
The square root of 363260196 is about 19059.3860341827. The cubic root of 363260196 is about 713.5196496071.
The spelling of 363260196 in words is "three hundred sixty-three million, two hundred sixty thousand, one hundred ninety-six".
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