Base | Representation |
---|---|
bin | 111010100111… |
… | …1100010100000 |
3 | 2010211110210200 |
4 | 1311033202200 |
5 | 30332000441 |
6 | 3014425200 |
7 | 522144642 |
oct | 165174240 |
9 | 63743720 |
10 | 30734496 |
11 | 16392311 |
12 | a362200 |
13 | 64a13c0 |
14 | 4120892 |
15 | 2a717b6 |
hex | 1d4f8a0 |
30734496 has 72 divisors (see below), whose sum is σ = 94135860. Its totient is φ = 9455616.
The previous prime is 30734491. The next prime is 30734497. The reversal of 30734496 is 69443703.
30734496 is a `hidden beast` number, since 307 + 344 + 9 + 6 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 24800400 + 5934096 = 4980^2 + 2436^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 30734496.
It is not an unprimeable number, because it can be changed into a prime (30734491) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361 + ... + 7848.
Almost surely, 230734496 is an apocalyptic number.
30734496 is a gapful number since it is divisible by the number (36) 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 30734496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47067930).
30734496 is an abundant number, since it is smaller than the sum of its proper divisors (63401364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30734496 is a wasteful number, since it uses less digits than its factorization.
30734496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8238 (or 8227 counting only the distinct ones).
The product of its (nonzero) digits is 54432, while the sum is 36.
The square root of 30734496 is about 5543.8701283490. The cubic root of 30734496 is about 313.2386656315.
It can be divided in two parts, 3073 and 4496, that added together give a square (7569 = 872).
The spelling of 30734496 in words is "thirty million, seven hundred thirty-four thousand, four hundred ninety-six".
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