Base | Representation |
---|---|
bin | 1100010100100… |
… | …11011101101000 |
3 | 21012111110101012 |
4 | 12022103131220 |
5 | 202430130311 |
6 | 14131243052 |
7 | 2363404046 |
oct | 612233550 |
9 | 235443335 |
10 | 103364456 |
11 | 5338a278 |
12 | 2a749488 |
13 | 18551000 |
14 | da29396 |
15 | 911b78b |
hex | 6293768 |
103364456 has 32 divisors (see below), whose sum is σ = 209987400. Its totient is φ = 47698560.
The previous prime is 103364453. The next prime is 103364467. The reversal of 103364456 is 654463301.
It can be written as a sum of positive squares in 4 ways, for example, as 14364100 + 89000356 = 3790^2 + 9434^2 .
It is not an unprimeable number, because it can be changed into a prime (103364453) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14636 + ... + 20516.
Almost surely, 2103364456 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 103364456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993700).
103364456 is an abundant number, since it is smaller than the sum of its proper divisors (106622944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103364456 is an equidigital number, since it uses as much as digits as its factorization.
103364456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5926 (or 5896 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 32.
The square root of 103364456 is about 10166.8311680681. The cubic root of 103364456 is about 469.3070458295.
The spelling of 103364456 in words is "one hundred three million, three hundred sixty-four thousand, four hundred fifty-six".
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