Base | Representation |
---|---|
bin | 10100110001111… |
… | …110001111110100 |
3 | 220022000222010100 |
4 | 110301332033310 |
5 | 1203223104330 |
6 | 54332354100 |
7 | 11432266542 |
oct | 2461761764 |
9 | 808028110 |
10 | 348644340 |
11 | 169889720 |
12 | 98915930 |
13 | 57300135 |
14 | 34436d92 |
15 | 2091c060 |
hex | 14c7e3f4 |
348644340 has 144 divisors (see below), whose sum is σ = 1185125760. Its totient is φ = 82218240.
The previous prime is 348644339. The next prime is 348644371. The reversal of 348644340 is 43446843.
348644340 is a `hidden beast` number, since 3 + 4 + 8 + 644 + 3 + 4 + 0 = 666.
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 = 348644295 and 348644304.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70881 + ... + 75639.
It is an arithmetic number, because the mean of its divisors is an integer number (8230040).
Almost surely, 2348644340 is an apocalyptic number.
348644340 is a gapful number since it is divisible by the number (30) 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 348644340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592562880).
348644340 is an abundant number, since it is smaller than the sum of its proper divisors (836481420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
348644340 is a wasteful number, since it uses less digits than its factorization.
348644340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4822 (or 4817 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 36.
The square root of 348644340 is about 18672.0202442050. The cubic root of 348644340 is about 703.8188158264.
It can be divided in two parts, 34864 and 4340, that added together give a square (39204 = 1982).
The spelling of 348644340 in words is "three hundred forty-eight million, six hundred forty-four thousand, three hundred forty".
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