Base | Representation |
---|---|
bin | 1000101110011110… |
… | …0110100100000000 |
3 | 20001020122222202000 |
4 | 2023213212210000 |
5 | 14244124231332 |
6 | 1024234024000 |
7 | 112022124030 |
oct | 21347464400 |
9 | 6036588660 |
10 | 2342414592 |
11 | aa2260831 |
12 | 554578000 |
13 | 2b43a5a4b |
14 | 18314d8c0 |
15 | da99db7c |
hex | 8b9e6900 |
2342414592 has 144 divisors (see below), whose sum is σ = 7916657280. Its totient is φ = 669247488.
The previous prime is 2342414561. The next prime is 2342414597. The reversal of 2342414592 is 2954142432.
It is a happy number.
2342414592 is a `hidden beast` number, since 2 + 3 + 424 + 145 + 92 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×23424145922 = 10973812241629052928, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2342414597) 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 15 ways as a sum of consecutive naturals, for example, 24178 + ... + 72590.
Almost surely, 22342414592 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 2342414592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958328640).
2342414592 is an abundant number, since it is smaller than the sum of its proper divisors (5574242688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2342414592 is an equidigital number, since it uses as much as digits as its factorization.
2342414592 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 48445 (or 48425 counting only the distinct ones).
The product of its digits is 69120, while the sum is 36.
The square root of 2342414592 is about 48398.4978279285. The cubic root of 2342414592 is about 1328.0708821700.
The spelling of 2342414592 in words is "two billion, three hundred forty-two million, four hundred fourteen thousand, five hundred ninety-two".
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