Base | Representation |
---|---|
bin | 1100101011000111… |
… | …0000100001001100 |
3 | 22210002112121111002 |
4 | 3022301300201030 |
5 | 23431410311140 |
6 | 1321325315432 |
7 | 150206606051 |
oct | 31261604114 |
9 | 8702477432 |
10 | 3402041420 |
11 | 1496400088 |
12 | 7ab405b78 |
13 | 422a8c07b |
14 | 243b7d028 |
15 | 14da0c415 |
hex | cac7084c |
3402041420 has 72 divisors (see below), whose sum is σ = 7482065472. Its totient is φ = 1298775040.
The previous prime is 3402041413. The next prime is 3402041491. The reversal of 3402041420 is 241402043.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 3402041392 and 3402041401.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 1579064 + ... + 1581216.
It is an arithmetic number, because the mean of its divisors is an integer number (103917576).
Almost surely, 23402041420 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 3402041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741032736).
3402041420 is an abundant number, since it is smaller than the sum of its proper divisors (4080024052).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3402041420 is a wasteful number, since it uses less digits than its factorization.
3402041420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2291 (or 2248 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
The square root of 3402041420 is about 58327.0213537431. The cubic root of 3402041420 is about 1503.9954842506.
Adding to 3402041420 its reverse (241402043), we get a palindrome (3643443463).
The spelling of 3402041420 in words is "three billion, four hundred two million, forty-one thousand, four hundred twenty".
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