Base | Representation |
---|---|
bin | 1001000101011100… |
… | …1100110111100110 |
3 | 20021221222202221210 |
4 | 2101113030313212 |
5 | 14443311401332 |
6 | 1041555252250 |
7 | 114302162640 |
oct | 22127146746 |
9 | 6257882853 |
10 | 2438778342 |
11 | 10416992a0 |
12 | 5808aa086 |
13 | 2cb345410 |
14 | 191c75890 |
15 | e4185ecc |
hex | 915ccde6 |
2438778342 has 128 divisors (see below), whose sum is σ = 6570160128. Its totient is φ = 582825600.
The previous prime is 2438778313. The next prime is 2438778371.
2438778342 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (2438778313) and next prime (2438778371).
It is a junction number, because it is equal to n+sod(n) for n = 2438778291 and 2438778300.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2948533 + ... + 2949359.
It is an arithmetic number, because the mean of its divisors is an integer number (51329376).
Almost surely, 22438778342 is an apocalyptic number.
2438778342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2438778342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285080064).
2438778342 is an abundant number, since it is smaller than the sum of its proper divisors (4131381786).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2438778342 is a wasteful number, since it uses less digits than its factorization.
2438778342 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1354.
The product of its digits is 1806336, while the sum is 48.
The square root of 2438778342 is about 49383.9887210420. The cubic root of 2438778342 is about 1346.0383798292.
The spelling of 2438778342 in words is "two billion, four hundred thirty-eight million, seven hundred seventy-eight thousand, three hundred forty-two".
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