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345300000 = 253551151
BaseRepresentation
bin10100100101001…
…101110000100000
3220001202001112220
4110211031300200
51201344100000
654132551040
711362000353
oct2445156040
9801661486
10345300000
11167a05001
1297782480
13566cbb36
1433c0629a
15204ab1a0
hex1494dc20

345300000 has 144 divisors (see below), whose sum is σ = 1133927424. Its totient is φ = 92000000.

The previous prime is 345299993. The next prime is 345300017. The reversal of 345300000 is 3543.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 299425 + ... + 300575.

It is an arithmetic number, because the mean of its divisors is an integer number (7874496).

Almost surely, 2345300000 is an apocalyptic number.

345300000 is a gapful number since it is divisible by the number (30) 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 345300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566963712).

345300000 is an abundant number, since it is smaller than the sum of its proper divisors (788627424).

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

345300000 is an equidigital number, since it uses as much as digits as its factorization.

345300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 345300000 is about 18582.2495947073. The cubic root of 345300000 is about 701.5611416005.

Adding to 345300000 its reverse (3543), we get a palindrome (345303543).

The spelling of 345300000 in words is "three hundred forty-five million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1151 1200 1250 1500 1875 2000 2302 2400 2500 3000 3125 3453 3750 4000 4604 5000 5755 6000 6250 6906 7500 9208 9375 10000 11510 12000 12500 13812 15000 17265 18416 18750 20000 23020 25000 27624 28775 30000 34530 36832 37500 46040 50000 55248 57550 60000 69060 75000 86325 92080 100000 110496 115100 138120 143875 150000 172650 184160 230200 276240 287750 300000 345300 431625 460400 552480 575500 690600 719375 863250 920800 1151000 1381200 1438750 1726500 2158125 2302000 2762400 2877500 3453000 3596875 4316250 4604000 5755000 6906000 7193750 8632500 10790625 11510000 13812000 14387500 17265000 21581250 23020000 28775000 34530000 43162500 57550000 69060000 86325000 115100000 172650000 345300000