Base | Representation |
---|---|
bin | 1000110011101011… |
… | …0110110111101100 |
3 | 20002202201210200000 |
4 | 2030322312313230 |
5 | 14320221124330 |
6 | 1030333504300 |
7 | 112405463031 |
oct | 21472666754 |
9 | 6082653600 |
10 | 2364239340 |
11 | 1003608011 |
12 | 55b942090 |
13 | 2b8a778b8 |
14 | 185dd1388 |
15 | dc860560 |
hex | 8ceb6dec |
2364239340 has 144 divisors (see below), whose sum is σ = 7510933248. Its totient is φ = 624210624.
The previous prime is 2364239309. The next prime is 2364239341. The reversal of 2364239340 is 439324632.
2364239340 is a `hidden beast` number, since 2 + 3 + 642 + 3 + 9 + 3 + 4 + 0 = 666.
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 = 2364239295 and 2364239304.
It is not an unprimeable number, because it can be changed into a prime (2364239341) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498219 + ... + 502941.
Almost surely, 22364239340 is an apocalyptic number.
2364239340 is a gapful number since it is divisible by the number (20) 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 2364239340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755466624).
2364239340 is an abundant number, since it is smaller than the sum of its proper divisors (5146693908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2364239340 is a wasteful number, since it uses less digits than its factorization.
2364239340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4850 (or 4836 counting only the distinct ones).
The product of its (nonzero) digits is 93312, while the sum is 36.
The square root of 2364239340 is about 48623.4443452950. Note that the first 3 decimals coincide. The cubic root of 2364239340 is about 1332.1827725819.
The spelling of 2364239340 in words is "two billion, three hundred sixty-four million, two hundred thirty-nine thousand, three hundred forty".
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