Base | Representation |
---|---|
bin | 1100110010000010… |
… | …1100110000110100 |
3 | 22212010021011022102 |
4 | 3030200230300310 |
5 | 24011331432040 |
6 | 1324244521232 |
7 | 151012034012 |
oct | 31440546064 |
9 | 8763234272 |
10 | 3431124020 |
11 | 1500864295 |
12 | 7b90b0218 |
13 | 428b025cc |
14 | 24798d8b2 |
15 | 151354515 |
hex | cc82cc34 |
3431124020 has 48 divisors (see below), whose sum is σ = 7446878208. Its totient is φ = 1326554880.
The previous prime is 3431124013. The next prime is 3431124023. The reversal of 3431124020 is 204211343.
It is a super-2 number, since 2×34311240202 = 23545224081241920800, which contains 22 as substring.
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 = 3431123983 and 3431124001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3431124023) 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, 587957 + ... + 593763.
It is an arithmetic number, because the mean of its divisors is an integer number (155143296).
Almost surely, 23431124020 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 3431124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723439104).
3431124020 is an abundant number, since it is smaller than the sum of its proper divisors (4015754188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3431124020 is a wasteful number, since it uses less digits than its factorization.
3431124020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6800 (or 6798 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 3431124020 is about 58575.7972203537. The cubic root of 3431124020 is about 1508.2690016076.
Adding to 3431124020 its reverse (204211343), we get a palindrome (3635335363).
The spelling of 3431124020 in words is "three billion, four hundred thirty-one million, one hundred twenty-four thousand, twenty".
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