Base | Representation |
---|---|
bin | 1100110010110010… |
… | …1010011001000000 |
3 | 22212100011111010000 |
4 | 3030230222121000 |
5 | 24013132310112 |
6 | 1324440040000 |
7 | 151050504630 |
oct | 31454523100 |
9 | 8770144100 |
10 | 3434260032 |
11 | 1502606435 |
12 | 7ba163000 |
13 | 42965cb38 |
14 | 2481686c0 |
15 | 1517737dc |
hex | ccb2a640 |
3434260032 has 560 divisors, whose sum is σ = 13011546240. Its totient is φ = 871907328.
The previous prime is 3434260031. The next prime is 3434260087. The reversal of 3434260032 is 2300624343.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 3434259978 and 3434260005.
It is not an unprimeable number, because it can be changed into a prime (3434260031) 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 79 ways as a sum of consecutive naturals, for example, 11720878 + ... + 11721170.
It is an arithmetic number, because the mean of its divisors is an integer number (23234904).
Almost surely, 23434260032 is an apocalyptic number.
3434260032 is a gapful number since it is divisible by the number (32) 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 3434260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6505773120).
3434260032 is an abundant number, since it is smaller than the sum of its proper divisors (9577286208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3434260032 is a wasteful number, since it uses less digits than its factorization.
3434260032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 360 (or 341 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 27.
The square root of 3434260032 is about 58602.5599440844. The cubic root of 3434260032 is about 1508.7283757904.
Adding to 3434260032 its reverse (2300624343), we get a palindrome (5734884375).
The spelling of 3434260032 in words is "three billion, four hundred thirty-four million, two hundred sixty thousand, thirty-two".
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