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83342700 = 223252713229
BaseRepresentation
bin1001111011110…
…11010101101100
312210211020200200
410331323111230
5132313431300
612134153500
72031254430
oct475732554
9183736620
1083342700
1143054671
1223ab2890
1314360a0c
14b0d69c0
1574b4200
hex4f7b56c

83342700 has 108 divisors (see below), whose sum is σ = 298574640. Its totient is φ = 19048320.

The previous prime is 83342689. The next prime is 83342719. The reversal of 83342700 is 724338.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 315 + ... + 12914.

It is an arithmetic number, because the mean of its divisors is an integer number (2764580).

Almost surely, 283342700 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 83342700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149287320).

83342700 is an abundant number, since it is smaller than the sum of its proper divisors (215231940).

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

83342700 is a wasteful number, since it uses less digits than its factorization.

83342700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13256 (or 13246 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 83342700 is about 9129.2223107995. Note that the first 3 decimals coincide. The cubic root of 83342700 is about 436.8065968291.

The spelling of 83342700 in words is "eighty-three million, three hundred forty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 13229 26458 39687 52916 66145 79374 92603 119061 132290 158748 185206 198435 238122 264580 277809 330725 370412 396870 463015 476244 555618 595305 661450 793740 833427 926030 992175 1111236 1190610 1322900 1389045 1666854 1852060 1984350 2315075 2381220 2778090 2976525 3333708 3968700 4167135 4630150 5556180 5953050 6945225 8334270 9260300 11906100 13890450 16668540 20835675 27780900 41671350 83342700