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5343800 = 2352711347
BaseRepresentation
bin10100011000101000111000
3101001111022112
4110120220320
52332000200
6310311452
763264410
oct24305070
911044275
105343800
11301a970
121958588
131151417
149d1640
15708535
hex518a38

5343800 has 96 divisors (see below), whose sum is σ = 15534720. Its totient is φ = 1660800.

The previous prime is 5343787. The next prime is 5343803. The reversal of 5343800 is 83435.

5343800 = T89 + T90 + ... + T319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5343803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15227 + ... + 15573.

It is an arithmetic number, because the mean of its divisors is an integer number (161820).

Almost surely, 25343800 is an apocalyptic number.

5343800 is a gapful number since it is divisible by the number (50) 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 5343800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7767360).

5343800 is an abundant number, since it is smaller than the sum of its proper divisors (10190920).

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

5343800 is a wasteful number, since it uses less digits than its factorization.

5343800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 5343800 is about 2311.6660658495. Note that the first 3 decimals coincide. The cubic root of 5343800 is about 174.8303117058.

It can be divided in two parts, 534 and 3800, that added together give a palindrome (4334).

The spelling of 5343800 in words is "five million, three hundred forty-three thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 347 350 385 440 550 616 694 700 770 1100 1388 1400 1540 1735 1925 2200 2429 2776 3080 3470 3817 3850 4858 6940 7634 7700 8675 9716 12145 13880 15268 15400 17350 19085 19432 24290 26719 30536 34700 38170 48580 53438 60725 69400 76340 95425 97160 106876 121450 133595 152680 190850 213752 242900 267190 381700 485800 534380 667975 763400 1068760 1335950 2671900 5343800