Base | Representation |
---|---|
bin | 1101111000000… |
… | …00110101010000 |
3 | 22010000111101200 |
4 | 12330000311100 |
5 | 214244122334 |
6 | 15314431200 |
7 | 2612226012 |
oct | 674006520 |
9 | 263014350 |
10 | 116395344 |
11 | 5a77a5aa |
12 | 32b92500 |
13 | 1b1642b0 |
14 | 1165c1b2 |
15 | a342799 |
hex | 6f00d50 |
116395344 has 120 divisors (see below), whose sum is σ = 354972072. Its totient is φ = 35389440.
The previous prime is 116395343. The next prime is 116395369. The reversal of 116395344 is 443593611.
116395344 is a `hidden beast` number, since 11 + 639 + 5 + 3 + 4 + 4 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 18147600 + 98247744 = 4260^2 + 9912^2 .
It is a super-2 number, since 2×1163953442 = 27095752209756672, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 116395299 and 116395308.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (116395343) 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 23 ways as a sum of consecutive naturals, for example, 181264 + ... + 181904.
Almost surely, 2116395344 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 116395344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177486036).
116395344 is an abundant number, since it is smaller than the sum of its proper divisors (238576728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
116395344 is a wasteful number, since it uses less digits than its factorization.
116395344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 765 (or 756 counting only the distinct ones).
The product of its digits is 38880, while the sum is 36.
The square root of 116395344 is about 10788.6673875878. The cubic root of 116395344 is about 488.2533173756.
The spelling of 116395344 in words is "one hundred sixteen million, three hundred ninety-five thousand, three hundred forty-four".
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