| Base | Representation |
|---|---|
| bin | 1101101101011110… |
| … | …0000001011110000 |
| 3 | 100111111021020111100 |
| 4 | 3123113200023300 |
| 5 | 30014133341230 |
| 6 | 1405111044400 |
| 7 | 160126432614 |
| oct | 33327401360 |
| 9 | 10444236440 |
| 10 | 3680371440 |
| 11 | 1619523599 |
| 12 | 868670700 |
| 13 | 4686405a5 |
| 14 | 26cb11344 |
| 15 | 16818a660 |
| hex | db5e02f0 |
3680371440 has 240 divisors, whose sum is σ = 13460522400. Its totient is φ = 897619968.
The previous prime is 3680371423. The next prime is 3680371441. The reversal of 3680371440 is 441730863.
3680371440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 3680371395 and 3680371404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3680371441) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392082 + ... + 401358.
It is an arithmetic number, because the mean of its divisors is an integer number (56085510).
Almost surely, 23680371440 is an apocalyptic number.
3680371440 is a gapful number since it is divisible by the number (30) 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 3680371440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730261200).
3680371440 is an abundant number, since it is smaller than the sum of its proper divisors (9780150960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3680371440 is a wasteful number, since it uses less digits than its factorization.
3680371440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9344 (or 9335 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The square root of 3680371440 is about 60666.0649787012. The cubic root of 3680371440 is about 1543.9404681424.
The spelling of 3680371440 in words is "three billion, six hundred eighty million, three hundred seventy-one thousand, four hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.068 sec. • engine limits •