Base | Representation |
---|---|
bin | 10001100100001… |
… | …00001111101000 |
3 | 101021020202122200 |
4 | 20302010033220 |
5 | 300204423222 |
6 | 22342020200 |
7 | 3436250265 |
oct | 1062041750 |
9 | 337222580 |
10 | 147342312 |
11 | 76197507 |
12 | 41417660 |
13 | 246ab300 |
14 | 157d626c |
15 | ce06eac |
hex | 8c843e8 |
147342312 has 72 divisors (see below), whose sum is σ = 432145350. Its totient is φ = 45332352.
The previous prime is 147342289. The next prime is 147342319. The reversal of 147342312 is 213243741.
It is a happy number.
147342312 is a `hidden beast` number, since 1 + 4 + 7 + 342 + 312 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 123076836 + 24265476 = 11094^2 + 4926^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is not an unprimeable number, because it can be changed into a prime (147342319) 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 17 ways as a sum of consecutive naturals, for example, 6114 + ... + 18222.
Almost surely, 2147342312 is an apocalyptic number.
147342312 is a gapful number since it is divisible by the number (12) 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 147342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216072675).
147342312 is an abundant number, since it is smaller than the sum of its proper divisors (284803038).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
147342312 is a wasteful number, since it uses less digits than its factorization.
147342312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12147 (or 12127 counting only the distinct ones).
The product of its digits is 4032, while the sum is 27.
The square root of 147342312 is about 12138.4641532609. The cubic root of 147342312 is about 528.1725503537.
The spelling of 147342312 in words is "one hundred forty-seven million, three hundred forty-two thousand, three hundred twelve".
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