Base | Representation |
---|---|
bin | 1000101111110111… |
… | …1100001000000000 |
3 | 20001122200110221221 |
4 | 2023331330020000 |
5 | 14302124120310 |
6 | 1025003324424 |
7 | 112122652312 |
oct | 21375741000 |
9 | 6048613857 |
10 | 2348270080 |
11 | aa55a0082 |
12 | 556520714 |
13 | 2b5676030 |
14 | 183c357b2 |
15 | db258ada |
hex | 8bf7c200 |
2348270080 has 160 divisors (see below), whose sum is σ = 6214945968. Its totient is φ = 845414400.
The previous prime is 2348270053. The next prime is 2348270101. The reversal of 2348270080 is 800728432.
It can be written as a sum of positive squares in 8 ways, for example, as 293642496 + 2054627584 = 17136^2 + 45328^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1363620 + ... + 1365340.
Almost surely, 22348270080 is an apocalyptic number.
2348270080 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 2348270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107472984).
2348270080 is an abundant number, since it is smaller than the sum of its proper divisors (3866675888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2348270080 is a wasteful number, since it uses less digits than its factorization.
2348270080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1798 (or 1782 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 34.
The square root of 2348270080 is about 48458.9525268551. The cubic root of 2348270080 is about 1329.1765834283.
The spelling of 2348270080 in words is "two billion, three hundred forty-eight million, two hundred seventy thousand, eighty".
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