Base | Representation |
---|---|
bin | 111001101100… |
… | …0001011111100 |
3 | 2002220122012110 |
4 | 1303120023330 |
5 | 30220330003 |
6 | 3000134020 |
7 | 515040450 |
oct | 163301374 |
9 | 62818173 |
10 | 30245628 |
11 | 16088a96 |
12 | a167310 |
13 | 635ca2a |
14 | 4034660 |
15 | 29c6a03 |
hex | 1cd82fc |
30245628 has 72 divisors (see below), whose sum is σ = 82913152. Its totient is φ = 8405856.
The previous prime is 30245623. The next prime is 30245629. The reversal of 30245628 is 82654203.
It is a super-2 number, since 2×302456282 = 1829596026228768, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 30245595 and 30245604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (30245623) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185475 + ... + 185637.
Almost surely, 230245628 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 30245628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41456576).
30245628 is an abundant number, since it is smaller than the sum of its proper divisors (52667524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30245628 is a wasteful number, since it uses less digits than its factorization.
30245628 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 271 (or 222 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 30.
The square root of 30245628 is about 5499.6025310926. The cubic root of 30245628 is about 311.5689725291.
It can be divided in two parts, 3024562 and 8, that added together give a triangular number (3024570 = T2459).
The spelling of 30245628 in words is "thirty million, two hundred forty-five thousand, six hundred twenty-eight".
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