Base | Representation |
---|---|
bin | 1000010100101101… |
… | …0001011100000000 |
3 | 12202201021110100000 |
4 | 2011023101130000 |
5 | 14033441342421 |
6 | 1005413200000 |
7 | 106240306200 |
oct | 20513213400 |
9 | 5681243300 |
10 | 2234324736 |
11 | a47244276 |
12 | 524330000 |
13 | 297b8bc57 |
14 | 172a54400 |
15 | d124c226 |
hex | 852d1700 |
2234324736 has 324 divisors, whose sum is σ = 7782035352. Its totient is φ = 637507584.
The previous prime is 2234324711. The next prime is 2234324747. The reversal of 2234324736 is 6374234322.
It is a tau number, because it is divible by the number of its divisors (324).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 2234324736.
It is a congruent number.
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 35 ways as a sum of consecutive naturals, for example, 3047826 + ... + 3048558.
Almost surely, 22234324736 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 2234324736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891017676).
2234324736 is an abundant number, since it is smaller than the sum of its proper divisors (5547710616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2234324736 is an frugal number, since it uses more digits than its factorization.
2234324736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 778 (or 745 counting only the distinct ones).
The product of its digits is 145152, while the sum is 36.
The square root of 2234324736 is about 47268.6443215796. The cubic root of 2234324736 is about 1307.3205797282.
The spelling of 2234324736 in words is "two billion, two hundred thirty-four million, three hundred twenty-four thousand, seven hundred thirty-six".
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