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3042735920 = 245719727581
BaseRepresentation
bin1011010101011100…
…0111011100110000
321212001102222222222
42311113013130300
522212420022140
61221532220212
7135254554130
oct26527073460
97761388888
103042735920
1113215aa594
1270b00a668
133964c8473
1420c16cac0
1512c1d65b5
hexb55c7730

3042735920 has 80 divisors (see below), whose sum is σ = 8126319168. Its totient is φ = 1037890560.

The previous prime is 3042735889. The next prime is 3042735929. The reversal of 3042735920 is 295372403.

It is a Cunningham number, because it is equal to 551612-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (3042735929) 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 15 ways as a sum of consecutive naturals, for example, 96530 + ... + 124110.

Almost surely, 23042735920 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 3042735920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063159584).

3042735920 is an abundant number, since it is smaller than the sum of its proper divisors (5083583248).

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

3042735920 is a wasteful number, since it uses less digits than its factorization.

3042735920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27798 (or 27792 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 3042735920 is about 55160.9999909356. Note that the first 5 decimals coincide. The cubic root of 3042735920 is about 1449.0657350636.

The spelling of 3042735920 in words is "three billion, forty-two million, seven hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 197 280 394 560 788 985 1379 1576 1970 2758 3152 3940 5516 6895 7880 11032 13790 15760 22064 27580 27581 55160 55162 110320 110324 137905 193067 220648 275810 386134 441296 551620 772268 965335 1103240 1544536 1930670 2206480 3089072 3861340 5433457 7722680 10866914 15445360 21733828 27167285 38034199 43467656 54334570 76068398 86935312 108669140 152136796 190170995 217338280 304273592 380341990 434676560 608547184 760683980 1521367960 3042735920