Search a number
-
+
5343696 = 243243863
BaseRepresentation
bin10100011000100111010000
3101001111011200
4110120213100
52331444241
6310311200
763264201
oct24304720
911044150
105343696
11301a886
121958500
131151367
149d15a8
157084b6
hex5189d0

5343696 has 60 divisors (see below), whose sum is σ = 15320448. Its totient is φ = 1737792.

The previous prime is 5343691. The next prime is 5343697. The reversal of 5343696 is 6963435.

5343696 is a `hidden beast` number, since 534 + 36 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5343696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5343691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5761 + ... + 6623.

Almost surely, 25343696 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 5343696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660224).

5343696 is an abundant number, since it is smaller than the sum of its proper divisors (9976752).

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

5343696 is a wasteful number, since it uses less digits than its factorization.

5343696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 911 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 5343696 is about 2311.6435711415. The cubic root of 5343696 is about 174.8291775273.

The spelling of 5343696 in words is "five million, three hundred forty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 863 1032 1548 1726 2064 2589 3096 3452 5178 6192 6904 7767 10356 13808 15534 20712 31068 37109 41424 62136 74218 111327 124272 148436 222654 296872 333981 445308 593744 667962 890616 1335924 1781232 2671848 5343696