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1682342739 = 32711320063
BaseRepresentation
bin110010001000110…
…1000001101010011
311100020121212101100
41210101220031103
511421134431424
6434534235443
756455451220
oct14421501523
94306555340
101682342739
11793703000
123ab4b5b83
1320a70659c
1411d60a947
159ca66dc9
hex64468353

1682342739 has 48 divisors (see below), whose sum is σ = 3054864384. Its totient is φ = 873900720.

The previous prime is 1682342713. The next prime is 1682342819. The reversal of 1682342739 is 9372432861.

It is not a de Polignac number, because 1682342739 - 213 = 1682334547 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1682342694 and 1682342703.

It is not an unprimeable number, because it can be changed into a prime (1682342339) 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 47 ways as a sum of consecutive naturals, for example, 73822 + ... + 93884.

It is an arithmetic number, because the mean of its divisors is an integer number (63643008).

Almost surely, 21682342739 is an apocalyptic number.

1682342739 is a deficient number, since it is larger than the sum of its proper divisors (1372521645).

1682342739 is a wasteful number, since it uses less digits than its factorization.

1682342739 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20109 (or 20084 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1682342739 is about 41016.3715972049. The cubic root of 1682342739 is about 1189.3367155530.

The spelling of 1682342739 in words is "one billion, six hundred eighty-two million, three hundred forty-two thousand, seven hundred thirty-nine".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 1331 2541 3993 7623 9317 11979 20063 27951 60189 83853 140441 180567 220693 421323 662079 1263969 1544851 1986237 2427623 4634553 7282869 13903659 16993361 21848607 26703853 50980083 80111559 152940249 186926971 240334677 560780913 1682342739