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1683210342 = 2311194728559
BaseRepresentation
bin110010001010011…
…1100000001100110
311100022020221111210
41210110330001212
511421400212332
6435005012250
756466023532
oct14424740146
94308227453
101683210342
11794145930
123ab854086
1320a94b468
1411d794bc2
159cb88ecc
hex6453c066

1683210342 has 64 divisors (see below), whose sum is σ = 3948134400. Its totient is φ = 472920480.

The previous prime is 1683210337. The next prime is 1683210343. The reversal of 1683210342 is 2430123861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683210343) 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 31 ways as a sum of consecutive naturals, for example, 44659 + ... + 73217.

It is an arithmetic number, because the mean of its divisors is an integer number (61689600).

Almost surely, 21683210342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683210342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974067200).

1683210342 is an abundant number, since it is smaller than the sum of its proper divisors (2264924058).

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

1683210342 is a wasteful number, since it uses less digits than its factorization.

1683210342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28641.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1683210342 is about 41026.9465351737. The cubic root of 1683210342 is about 1189.5411318404.

The spelling of 1683210342 in words is "one billion, six hundred eighty-three million, two hundred ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 47 57 66 94 114 141 209 282 418 517 627 893 1034 1254 1551 1786 2679 3102 5358 9823 19646 28559 29469 57118 58938 85677 171354 314149 542621 628298 942447 1085242 1342273 1627863 1884894 2684546 3255726 4026819 5968831 8053638 11937662 14765003 17906493 25503187 29530006 35812986 44295009 51006374 76509561 88590018 153019122 280535057 561070114 841605171 1683210342