Base | Representation |
---|---|
bin | 1000101111001001… |
… | …1000010111000000 |
3 | 20001102222112110202 |
4 | 2023302120113000 |
5 | 14300340140000 |
6 | 1024414344332 |
7 | 112055132255 |
oct | 21362302700 |
9 | 6042875422 |
10 | 2345240000 |
11 | aa3910584 |
12 | 5554bb0a8 |
13 | 2b4b54a9c |
14 | 18368742c |
15 | dad5add5 |
hex | 8bc985c0 |
2345240000 has 70 divisors (see below), whose sum is σ = 5815532184. Its totient is φ = 938080000.
The previous prime is 2345239973. The next prime is 2345240003. The reversal of 2345240000 is 425432.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2345240003) 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 9 ways as a sum of consecutive naturals, for example, 10685 + ... + 69315.
Almost surely, 22345240000 is an apocalyptic number.
2345240000 is a gapful number since it is divisible by the number (20) 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 2345240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907766092).
2345240000 is an abundant number, since it is smaller than the sum of its proper divisors (3470292184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2345240000 is an frugal number, since it uses more digits than its factorization.
2345240000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 58663 (or 58638 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 20.
The square root of 2345240000 is about 48427.6780364287. The cubic root of 2345240000 is about 1328.6046382969.
Adding to 2345240000 its reverse (425432), we get a palindrome (2345665432).
The spelling of 2345240000 in words is "two billion, three hundred forty-five million, two hundred forty thousand".
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