Base | Representation |
---|---|
bin | 10100110001001… |
… | …011000011010000 |
3 | 220021122022110200 |
4 | 110301023003100 |
5 | 1203144402030 |
6 | 54324055200 |
7 | 11430434301 |
oct | 2461130320 |
9 | 807568420 |
10 | 348434640 |
11 | 169756114 |
12 | 98834500 |
13 | 57258858 |
14 | 343c07a8 |
15 | 208c9d60 |
hex | 14c4b0d0 |
348434640 has 60 divisors (see below), whose sum is σ = 1170162084. Its totient is φ = 92915712.
The previous prime is 348434617. The next prime is 348434729. The reversal of 348434640 is 46434843.
348434640 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 3 + 4 + 640 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 236667456 + 111767184 = 15384^2 + 10572^2 .
It is a tau number, because it is divible by the number of its divisors (60).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 348434595 and 348434604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241249 + ... + 242688.
Almost surely, 2348434640 is an apocalyptic number.
348434640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
348434640 is an abundant number, since it is smaller than the sum of its proper divisors (821727444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
348434640 is a wasteful number, since it uses less digits than its factorization.
348434640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 483956 (or 483947 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 36.
The square root of 348434640 is about 18666.4040457716. The cubic root of 348434640 is about 703.6776782933.
The spelling of 348434640 in words is "three hundred forty-eight million, four hundred thirty-four thousand, six hundred forty".
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