Search a number
-
+
5234304 = 27343317
BaseRepresentation
bin10011111101111010000000
3100211221010010
4103331322000
52314444204
6304104520
762330235
oct23757200
910757103
105234304
112a55679
121905140
13111362a
149a378c
156d5d89
hex4fde80

5234304 has 64 divisors (see below), whose sum is σ = 14271840. Its totient is φ = 1698816.

The previous prime is 5234287. The next prime is 5234321. The reversal of 5234304 is 4034325.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5234287) and next prime (5234321).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16354 + ... + 16670.

Almost surely, 25234304 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 5234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135920).

5234304 is an abundant number, since it is smaller than the sum of its proper divisors (9037536).

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

5234304 is a wasteful number, since it uses less digits than its factorization.

5234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 5234304 is about 2287.8601355852. The cubic root of 5234304 is about 173.6279539035.

Adding to 5234304 its sum of digits (21), we get a palindrome (5234325).

Adding to 5234304 its reverse (4034325), we get a palindrome (9268629).

The spelling of 5234304 in words is "five million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 317 344 384 516 634 688 951 1032 1268 1376 1902 2064 2536 2752 3804 4128 5072 5504 7608 8256 10144 13631 15216 16512 20288 27262 30432 40576 40893 54524 60864 81786 109048 121728 163572 218096 327144 436192 654288 872384 1308576 1744768 2617152 5234304