Base | Representation |
---|---|
bin | 10100110000010… |
… | …111111111001000 |
3 | 220021020200120000 |
4 | 110300113333020 |
5 | 1203121203410 |
6 | 54315403000 |
7 | 11425603431 |
oct | 2460277710 |
9 | 807220500 |
10 | 348225480 |
11 | 169622a59 |
12 | 98753460 |
13 | 571b45a5 |
14 | 34368488 |
15 | 20887dc0 |
hex | 14c17fc8 |
348225480 has 160 divisors (see below), whose sum is σ = 1208528640. Its totient is φ = 89838720.
The previous prime is 348225473. The next prime is 348225487. The reversal of 348225480 is 84522843.
348225480 is a `hidden beast` number, since 34 + 82 + 2 + 548 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (348225473) and next prime (348225487).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (348225487) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98707 + ... + 102173.
It is an arithmetic number, because the mean of its divisors is an integer number (7553304).
Almost surely, 2348225480 is an apocalyptic number.
348225480 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 348225480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604264320).
348225480 is an abundant number, since it is smaller than the sum of its proper divisors (860303160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
348225480 is a wasteful number, since it uses less digits than its factorization.
348225480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3521 (or 3508 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
The square root of 348225480 is about 18660.8006259110. The cubic root of 348225480 is about 703.5368477842.
The spelling of 348225480 in words is "three hundred forty-eight million, two hundred twenty-five thousand, four hundred eighty".
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