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83305339 = 1323115901
BaseRepresentation
bin1001111011100…
…10001101111011
312210202100102221
410331302031323
5132311232324
612133304511
72031040465
oct475621573
9183670387
1083305339
1143029597
1223a95137
1314349a00
14b0c7135
1574a80e4
hex4f7237b

83305339 has 12 divisors (see below), whose sum is σ = 93122112. Its totient is φ = 74412000.

The previous prime is 83305309. The next prime is 83305361. The reversal of 83305339 is 93350338.

It is a de Polignac number, because none of the positive numbers 2k-83305339 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83305309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2712 + ... + 13189.

It is an arithmetic number, because the mean of its divisors is an integer number (7760176).

Almost surely, 283305339 is an apocalyptic number.

83305339 is a deficient number, since it is larger than the sum of its proper divisors (9816773).

83305339 is a wasteful number, since it uses less digits than its factorization.

83305339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15958 (or 15945 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The square root of 83305339 is about 9127.1758501740. The cubic root of 83305339 is about 436.7413162848.

The spelling of 83305339 in words is "eighty-three million, three hundred five thousand, three hundred thirty-nine".

Divisors: 1 13 31 169 403 5239 15901 206713 492931 2687269 6408103 83305339