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1683297396 = 2233113145707
BaseRepresentation
bin110010001010101…
…0001010001110100
311100022102100221000
41210111101101310
511421411004041
6435010523300
756466535404
oct14425212164
94308370830
101683297396
117941a5280
123ab896530
1320a97bc81
1411d7b8804
159cba4bb6
hex64551474

1683297396 has 96 divisors (see below), whose sum is σ = 4914524160. Its totient is φ = 493624800.

The previous prime is 1683297361. The next prime is 1683297397. The reversal of 1683297396 is 6937923861.

1683297396 is a `hidden beast` number, since 168 + 3 + 2 + 97 + 396 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683297397) 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, 13975 + ... + 59681.

It is an arithmetic number, because the mean of its divisors is an integer number (51192960).

Almost surely, 21683297396 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 1683297396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457262080).

1683297396 is an abundant number, since it is smaller than the sum of its proper divisors (3231226764).

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

1683297396 is a wasteful number, since it uses less digits than its factorization.

1683297396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45762 (or 45754 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 1683297396 is about 41028.0074583205. The cubic root of 1683297396 is about 1189.5616387899.

The spelling of 1683297396 in words is "one billion, six hundred eighty-three million, two hundred ninety-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 9207 12276 18414 36828 45707 91414 137121 182828 274242 411363 502777 548484 822726 1005554 1234089 1416917 1508331 1645452 2011108 2468178 2833834 3016662 4250751 4524993 4936356 5667668 6033324 8501502 9049986 12752253 13574979 15586087 17003004 18099972 25504506 27149958 31172174 38256759 46758261 51009012 54299916 62344348 76513518 93516522 140274783 153027036 187033044 280549566 420824349 561099132 841648698 1683297396