Base | Representation |
---|---|
bin | 10100101111100… |
… | …010011101100000 |
3 | 220020211112211000 |
4 | 110233202131200 |
5 | 1203042144430 |
6 | 54310552000 |
7 | 11424001311 |
oct | 2457423540 |
9 | 806745730 |
10 | 348006240 |
11 | 16949326a |
12 | 98668600 |
13 | 5713886a |
14 | 3430c608 |
15 | 20842e60 |
hex | 14be2760 |
348006240 has 96 divisors (see below), whose sum is σ = 1218036960. Its totient is φ = 92800512.
The previous prime is 348006179. The next prime is 348006247. The reversal of 348006240 is 42600843.
348006240 is a `hidden beast` number, since 34 + 8 + 0 + 0 + 624 + 0 = 666.
348006240 is digitally balanced in base 3, 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 (96).
It is a super-2 number, since 2×3480062402 = 242216686157875200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (348006247) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35959 + ... + 44598.
It is an arithmetic number, because the mean of its divisors is an integer number (12687885).
Almost surely, 2348006240 is an apocalyptic number.
348006240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
348006240 is an abundant number, since it is smaller than the sum of its proper divisors (870030720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
348006240 is a wasteful number, since it uses less digits than its factorization.
348006240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 80581 (or 80567 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 348006240 is about 18654.9253549833. The cubic root of 348006240 is about 703.3891697147.
The spelling of 348006240 in words is "three hundred forty-eight million, six thousand, two hundred forty".
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