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5346300 = 2235271251
BaseRepresentation
bin10100011001001111111100
3101001121202010
4110121033330
52332040200
6310331220
763304611
oct24311774
911047663
105346300
113021833
121959b10
1311525bb
149d2508
15709150
hex5193fc

5346300 has 72 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 1400000.

The previous prime is 5346287. The next prime is 5346307. The reversal of 5346300 is 36435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5346307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21175 + ... + 21425.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 25346300 is an apocalyptic number.

5346300 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 5346300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

5346300 is an abundant number, since it is smaller than the sum of its proper divisors (10402692).

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

5346300 is a wasteful number, since it uses less digits than its factorization.

5346300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 5346300 is about 2312.2067381616. The cubic root of 5346300 is about 174.8575711865.

The spelling of 5346300 in words is "five million, three hundred forty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 251 284 300 355 426 502 710 753 852 1004 1065 1255 1420 1506 1775 2130 2510 3012 3550 3765 4260 5020 5325 6275 7100 7530 10650 12550 15060 17821 18825 21300 25100 35642 37650 53463 71284 75300 89105 106926 178210 213852 267315 356420 445525 534630 891050 1069260 1336575 1782100 2673150 5346300