Search a number
-
+
24420384 = 253284793
BaseRepresentation
bin101110100101…
…0000000100000
31200221200110200
41131022000200
522222423014
62231225200
7414366312
oct135120040
950850420
1024420384
111286a43a
128218200
1350a0441
1433597b2
152225a09
hex174a020

24420384 has 36 divisors (see below), whose sum is σ = 69446286. Its totient is φ = 8140032.

The previous prime is 24420367. The next prime is 24420419. The reversal of 24420384 is 48302442.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 15776784 + 8643600 = 3972^2 + 2940^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42109 + ... + 42684.

Almost surely, 224420384 is an apocalyptic number.

24420384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24420384 is an abundant number, since it is smaller than the sum of its proper divisors (45025902).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24420384 is a wasteful number, since it uses less digits than its factorization.

24420384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84809 (or 84798 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 24420384 is about 4941.6984934332. The cubic root of 24420384 is about 290.1243382793.

The spelling of 24420384 in words is "twenty-four million, four hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 84793 169586 254379 339172 508758 678344 763137 1017516 1356688 1526274 2035032 2713376 3052548 4070064 6105096 8140128 12210192 24420384