Base | Representation |
---|---|
bin | 1100110001111000… |
… | …0001001000001000 |
3 | 22212001221102221122 |
4 | 3030132001020020 |
5 | 24011141433000 |
6 | 1324221454412 |
7 | 151003045256 |
oct | 31436011010 |
9 | 8761842848 |
10 | 3430421000 |
11 | 1500424086 |
12 | 7b8a11408 |
13 | 428917616 |
14 | 2478495d6 |
15 | 151266085 |
hex | cc781208 |
3430421000 has 64 divisors (see below), whose sum is σ = 8037198000. Its totient is φ = 1370457600.
The previous prime is 3430420999. The next prime is 3430421017. The reversal of 3430421000 is 1240343.
It can be written as a sum of positive squares in 8 ways, for example, as 129458884 + 3300962116 = 11378^2 + 57454^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 3430421000.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 1067396 + ... + 1070604.
Almost surely, 23430421000 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 3430421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018599000).
3430421000 is an abundant number, since it is smaller than the sum of its proper divisors (4606777000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3430421000 is a wasteful number, since it uses less digits than its factorization.
3430421000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4299 (or 4285 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
The square root of 3430421000 is about 58569.7959702781. The cubic root of 3430421000 is about 1508.1659823351.
Adding to 3430421000 its reverse (1240343), we get a palindrome (3431661343).
The spelling of 3430421000 in words is "three billion, four hundred thirty million, four hundred twenty-one thousand".
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