Base | Representation |
---|---|
bin | 111001010111… |
… | …0011010000000 |
3 | 2002120221110020 |
4 | 1302232122000 |
5 | 30144340441 |
6 | 2552333440 |
7 | 513425514 |
oct | 162563200 |
9 | 62527406 |
10 | 30074496 |
11 | 15a81461 |
12 | a0a4280 |
13 | 62ccb7a |
14 | 3dcc144 |
15 | 2990e66 |
hex | 1cae680 |
30074496 has 96 divisors (see below), whose sum is σ = 85174080. Its totient is φ = 9400320.
The previous prime is 30074461. The next prime is 30074497. The reversal of 30074496 is 69447003.
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (30074497) by changing a digit.
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, 110841 + ... + 111111.
It is an arithmetic number, because the mean of its divisors is an integer number (887230).
Almost surely, 230074496 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 30074496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42587040).
30074496 is an abundant number, since it is smaller than the sum of its proper divisors (55099584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30074496 is a wasteful number, since it uses less digits than its factorization.
30074496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 322 (or 293 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 33.
The square root of 30074496 is about 5484.0218817944. The cubic root of 30074496 is about 310.9802339909.
It can be divided in two parts, 3007 and 4496, that added together give a triangular number (7503 = T122).
The spelling of 30074496 in words is "thirty million, seventy-four thousand, four hundred ninety-six".
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