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5234384 = 24292389
BaseRepresentation
bin10011111101111011010000
3100211221020002
4103331323100
52320000014
6304105132
762330411
oct23757320
910757202
105234384
112a55741
1219051a8
13111368c
149a3808
156d5dde
hex4fded0

5234384 has 30 divisors (see below), whose sum is σ = 10530390. Its totient is φ = 2520448.

The previous prime is 5234321. The next prime is 5234389. The reversal of 5234384 is 4834325.

It can be written as a sum of positive squares in 3 ways, for example, as 394384 + 4840000 = 628^2 + 2200^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5234389) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13262 + ... + 13650.

It is an arithmetic number, because the mean of its divisors is an integer number (351013).

Almost surely, 25234384 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 5234384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265195).

5234384 is an abundant number, since it is smaller than the sum of its proper divisors (5296006).

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

5234384 is a wasteful number, since it uses less digits than its factorization.

5234384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 420 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 5234384 is about 2287.8776191047. The cubic root of 5234384 is about 173.6288384633.

The spelling of 5234384 in words is "five million, two hundred thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 116 232 389 464 778 841 1556 1682 3112 3364 6224 6728 11281 13456 22562 45124 90248 180496 327149 654298 1308596 2617192 5234384