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5340384 = 25337883
BaseRepresentation
bin10100010111110011100000
3101001022122000
4110113303200
52331343014
6310244000
763251430
oct24276340
911038560
105340384
113018345
121956600
13114c9ba
149d02c0
15707509
hex517ce0

5340384 has 96 divisors (see below), whose sum is σ = 17821440. Its totient is φ = 1524096.

The previous prime is 5340383. The next prime is 5340389. The reversal of 5340384 is 4830435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5607 + ... + 6489.

It is an arithmetic number, because the mean of its divisors is an integer number (185640).

Almost surely, 25340384 is an apocalyptic number.

5340384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5340384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910720).

5340384 is an abundant number, since it is smaller than the sum of its proper divisors (12481056).

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

5340384 is a wasteful number, since it uses less digits than its factorization.

5340384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5340384 is about 2310.9270866905. The cubic root of 5340384 is about 174.7930506028.

The spelling of 5340384 in words is "five million, three hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 883 1008 1512 1766 2016 2649 3024 3532 5298 6048 6181 7064 7947 10596 12362 14128 15894 18543 21192 23841 24724 28256 31788 37086 42384 47682 49448 55629 63576 74172 84768 95364 98896 111258 127152 148344 166887 190728 197792 222516 254304 296688 333774 381456 445032 593376 667548 762912 890064 1335096 1780128 2670192 5340384