Search a number
-
+
5344040 = 2351343239
BaseRepresentation
bin10100011000101100101000
3101001111122102
4110120230220
52332002130
6310312532
763265202
oct24305450
911044572
105344040
113020069
121958748
131151570
149d1772
15708645
hex518b28

5344040 has 64 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 1919232.

The previous prime is 5344039. The next prime is 5344049. The reversal of 5344040 is 404435.

5344040 = 3512 + 3522 + ... + 3892.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5344049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22241 + ... + 22479.

It is an arithmetic number, because the mean of its divisors is an integer number (207900).

Almost surely, 25344040 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 5344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

5344040 is an abundant number, since it is smaller than the sum of its proper divisors (7961560).

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

5344040 is a wasteful number, since it uses less digits than its factorization.

5344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 5344040 is about 2311.7179758785. The cubic root of 5344040 is about 174.8329289849.

Adding to 5344040 its reverse (404435), we get a palindrome (5748475).

The spelling of 5344040 in words is "five million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 239 260 344 430 478 520 559 860 956 1118 1195 1720 1912 2236 2390 2795 3107 4472 4780 5590 6214 9560 10277 11180 12428 15535 20554 22360 24856 31070 41108 51385 62140 82216 102770 124280 133601 205540 267202 411080 534404 668005 1068808 1336010 2672020 5344040