Base | Representation |
---|---|
bin | 101110100000… |
… | …0010011111000 |
3 | 1200212122222120 |
4 | 1131000103320 |
5 | 22220140124 |
6 | 2230321240 |
7 | 414142440 |
oct | 135002370 |
9 | 50778876 |
10 | 24380664 |
11 | 12842610 |
12 | 81b9220 |
13 | 5088339 |
14 | 3349120 |
15 | 2218d79 |
hex | 17404f8 |
24380664 has 128 divisors (see below), whose sum is σ = 77414400. Its totient is φ = 6215040.
The previous prime is 24380647. The next prime is 24380701. The reversal of 24380664 is 46608342.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 145909 + ... + 146075.
It is an arithmetic number, because the mean of its divisors is an integer number (604800).
Almost surely, 224380664 is an apocalyptic number.
24380664 is a gapful number since it is divisible by the number (24) 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 24380664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).
24380664 is an abundant number, since it is smaller than the sum of its proper divisors (53033736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24380664 is a wasteful number, since it uses less digits than its factorization.
24380664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 273 (or 269 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 33.
The square root of 24380664 is about 4937.6779967916. The cubic root of 24380664 is about 289.9669562033.
The spelling of 24380664 in words is "twenty-four million, three hundred eighty thousand, six hundred sixty-four".
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