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343286900 = 225211521599
BaseRepresentation
bin10100011101100…
…010010001110100
3212220221210002122
4110131202101310
51200340140100
654021455112
711335614305
oct2435422164
9786853078
10343286900
1116685a590
1296b71498
1356175758
14338407ac
152020e985
hex14762474

343286900 has 72 divisors (see below), whose sum is σ = 815572800. Its totient is φ = 124384000.

The previous prime is 343286893. The next prime is 343286903. The reversal of 343286900 is 9682343.

It is a happy number.

It is a super-2 number, since 2×3432869002 = 235691791423220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343286903) 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, 572801 + ... + 573399.

It is an arithmetic number, because the mean of its divisors is an integer number (11327400).

Almost surely, 2343286900 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 343286900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407786400).

343286900 is an abundant number, since it is smaller than the sum of its proper divisors (472285900).

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

343286900 is a wasteful number, since it uses less digits than its factorization.

343286900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 343286900 is about 18528.0031303970. The cubic root of 343286900 is about 700.1951156771.

The spelling of 343286900 in words is "three hundred forty-three million, two hundred eighty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 521 550 599 1042 1100 1198 2084 2396 2605 2995 5210 5731 5990 6589 10420 11462 11980 13025 13178 14975 22924 26050 26356 28655 29950 32945 52100 57310 59900 65890 114620 131780 143275 164725 286550 312079 329450 573100 624158 658900 1248316 1560395 3120790 3432869 6241580 6865738 7801975 13731476 15603950 17164345 31207900 34328690 68657380 85821725 171643450 343286900