Base | Representation |
---|---|
bin | 1010001100111110… |
… | …1100011010101000 |
3 | 21001212112110201000 |
4 | 2203033230122220 |
5 | 21102113102141 |
6 | 1131433555000 |
7 | 124604263341 |
oct | 24317543250 |
9 | 7055473630 |
10 | 2738800296 |
11 | 1185a88221 |
12 | 645275a60 |
13 | 3485501bb |
14 | 1bda530c8 |
15 | 11069b5b6 |
hex | a33ec6a8 |
2738800296 has 128 divisors (see below), whose sum is σ = 8144640000. Its totient is φ = 850150080.
The previous prime is 2738800243. The next prime is 2738800301. The reversal of 2738800296 is 6920088372.
2738800296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×27388002962 = 15002054122739375232, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236481 + ... + 247791.
It is an arithmetic number, because the mean of its divisors is an integer number (63630000).
Almost surely, 22738800296 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 2738800296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072320000).
2738800296 is an abundant number, since it is smaller than the sum of its proper divisors (5405839704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2738800296 is a wasteful number, since it uses less digits than its factorization.
2738800296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11404 (or 11394 counting only the distinct ones).
The product of its (nonzero) digits is 290304, while the sum is 45.
The square root of 2738800296 is about 52333.5484751416. The cubic root of 2738800296 is about 1399.1151374438.
The spelling of 2738800296 in words is "two billion, seven hundred thirty-eight million, eight hundred thousand, two hundred ninety-six".
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