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2734143012 = 223453891789
BaseRepresentation
bin1010001011110111…
…1011011000100100
321001112202212010000
42202331323120210
521044420034022
61131150101300
7124516555266
oct24275733044
97045685100
102734143012
111183397127
126437aa830
133475ac403
141bd19db36
1511007b6ac
hexa2f7b624

2734143012 has 120 divisors (see below), whose sum is σ = 7368391800. Its totient is φ = 883643904.

The previous prime is 2734143011. The next prime is 2734143043. The reversal of 2734143012 is 2103414372.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 911194596 + 1822948416 = 30186^2 + 42696^2 .

It is a super-3 number, since 3×27341430123 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2734143011) 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 39 ways as a sum of consecutive naturals, for example, 1527414 + ... + 1529202.

It is an arithmetic number, because the mean of its divisors is an integer number (61403265).

Almost surely, 22734143012 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 2734143012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684195900).

2734143012 is an abundant number, since it is smaller than the sum of its proper divisors (4634248788).

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

2734143012 is a wasteful number, since it uses less digits than its factorization.

2734143012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2734143012 is about 52289.0333817714. The cubic root of 2734143012 is about 1398.3216302113.

Adding to 2734143012 its reverse (2103414372), we get a palindrome (4837557384).

The spelling of 2734143012 in words is "two billion, seven hundred thirty-four million, one hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 89 106 108 159 162 178 212 267 318 324 356 477 534 636 801 954 1068 1431 1602 1789 1908 2403 2862 3204 3578 4293 4717 4806 5367 5724 7156 7209 8586 9434 9612 10734 14151 14418 16101 17172 18868 21468 28302 28836 32202 42453 48303 56604 64404 84906 94817 96606 127359 144909 159221 169812 189634 193212 254718 284451 289818 318442 379268 382077 477663 509436 568902 579636 636884 764154 853353 955326 1137804 1432989 1528308 1706706 1910652 2560059 2865978 3413412 4298967 5120118 5731956 7680177 8438713 8597934 10240236 12896901 15360354 16877426 17195868 25316139 25793802 30720708 33754852 50632278 51587604 75948417 101264556 151896834 227845251 303793668 455690502 683535753 911381004 1367071506 2734143012