Base | Representation |
---|---|
bin | 1011001101011011… |
… | …0000101000000000 |
3 | 21202201010111201201 |
4 | 2303112300220000 |
5 | 22130311304000 |
6 | 1214331110544 |
7 | 134365553212 |
oct | 26326605000 |
9 | 7681114651 |
10 | 3009088000 |
11 | 1304608396 |
12 | 6bb8a2454 |
13 | 38c546c59 |
14 | 2078d05b2 |
15 | 12928b96a |
hex | b35b0a00 |
3009088000 has 80 divisors (see below), whose sum is σ = 7503508584. Its totient is φ = 1203609600.
The previous prime is 3009087923. The next prime is 3009088021. The reversal of 3009088000 is 8809003.
It can be written as a sum of positive squares in 4 ways, for example, as 1780164864 + 1228923136 = 42192^2 + 35056^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×30090880002 = 18109221183488000000, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 3009088000.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40492 + ... + 87508.
Almost surely, 23009088000 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 3009088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751754292).
3009088000 is an abundant number, since it is smaller than the sum of its proper divisors (4494420584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3009088000 is an frugal number, since it uses more digits than its factorization.
3009088000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 47050 (or 47024 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 28.
The square root of 3009088000 is about 54855.1547258779. The cubic root of 3009088000 is about 1443.7044537520.
The spelling of 3009088000 in words is "three billion, nine million, eighty-eight thousand".
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