Base | Representation |
---|---|
bin | 11101100110101… |
… | …11011010000000 |
3 | 122022022021222220 |
4 | 32303113122000 |
5 | 1002034034430 |
6 | 40350531040 |
7 | 6103623342 |
oct | 1663273200 |
9 | 568267886 |
10 | 248346240 |
11 | 11820422a |
12 | 6b206a80 |
13 | 3c5b3a4c |
14 | 24da9292 |
15 | 16c09110 |
hex | ecd7680 |
248346240 has 64 divisors (see below), whose sum is σ = 791609760. Its totient is φ = 66225152.
The previous prime is 248346233. The next prime is 248346247. The reversal of 248346240 is 42643842.
248346240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (248346233) and next prime (248346247).
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (248346247) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62754 + ... + 66593.
Almost surely, 2248346240 is an apocalyptic number.
248346240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
248346240 is an abundant number, since it is smaller than the sum of its proper divisors (543263520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
248346240 is a wasteful number, since it uses less digits than its factorization.
248346240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 129369 (or 129357 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 33.
The square root of 248346240 is about 15759.0050447355. The cubic root of 248346240 is about 628.5683793634.
The spelling of 248346240 in words is "two hundred forty-eight million, three hundred forty-six thousand, two hundred forty".
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