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1684283940 = 2232531301843
BaseRepresentation
bin110010001100100…
…0010001000100100
311100101021111012200
41210121002020210
511422134041230
6435044014500
756511114543
oct14431021044
94311244180
101684283940
117948094a9
123b0091430
1320ac36021
1411d99415a
159ccec160
hex64642224

1684283940 has 72 divisors (see below), whose sum is σ = 5273818368. Its totient is φ = 434652480.

The previous prime is 1684283929. The next prime is 1684283941. The reversal of 1684283940 is 493824861.

It is a happy number.

It is a super-3 number, since 3×16842839403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1684283941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145342 + ... + 156501.

Almost surely, 21684283940 is an apocalyptic number.

1684283940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1684283940 is an abundant number, since it is smaller than the sum of its proper divisors (3589534428).

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

1684283940 is a wasteful number, since it uses less digits than its factorization.

1684283940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301889 (or 301884 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1684283940 is about 41040.0285087620. The cubic root of 1684283940 is about 1189.7939854744.

The spelling of 1684283940 in words is "one billion, six hundred eighty-four million, two hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 301843 603686 905529 1207372 1509215 1811058 2716587 3018430 3622116 4527645 5433174 6036860 9055290 9357133 10866348 13582935 18110580 18714266 27165870 28071399 37428532 46785665 54331740 56142798 84214197 93571330 112285596 140356995 168428394 187142660 280713990 336856788 421070985 561427980 842141970 1684283940