Base | Representation |
---|---|
bin | 111001100111… |
… | …0000011110000 |
3 | 2002211112022000 |
4 | 1303032003300 |
5 | 30213013034 |
6 | 2555214000 |
7 | 514505505 |
oct | 163160360 |
9 | 62745260 |
10 | 30204144 |
11 | 1605a903 |
12 | a147300 |
13 | 6346b99 |
14 | 40234ac |
15 | 29b9599 |
hex | 1cce0f0 |
30204144 has 80 divisors (see below), whose sum is σ = 87494400. Its totient is φ = 9975744.
The previous prime is 30204143. The next prime is 30204191. The reversal of 30204144 is 44140203.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (30204143) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59797 + ... + 60299.
It is an arithmetic number, because the mean of its divisors is an integer number (1093680).
Almost surely, 230204144 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 30204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747200).
30204144 is an abundant number, since it is smaller than the sum of its proper divisors (57290256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30204144 is a wasteful number, since it uses less digits than its factorization.
30204144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 659 (or 647 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 30204144 is about 5495.8296916844. The cubic root of 30204144 is about 311.4264611221.
Adding to 30204144 its reverse (44140203), we get a palindrome (74344347).
The spelling of 30204144 in words is "thirty million, two hundred four thousand, one hundred forty-four".
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