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3442882443 = 3721113237121
BaseRepresentation
bin1100110100110110…
…0011011110001011
322212221101112211120
43031031203132023
524022334214233
61325344530323
7151214006100
oct31515433613
98787345746
103442882443
1115074655a0
128010209a3
1342b38b660
14249370aa7
151523c84b3
hexcd36378b

3442882443 has 96 divisors (see below), whose sum is σ = 6547226112. Its totient is φ = 1578931200.

The previous prime is 3442882433. The next prime is 3442882451.

3442882443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3442882443 - 24 = 3442882427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3442882395 and 3442882404.

It is not an unprimeable number, because it can be changed into a prime (3442882423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 479923 + ... + 487043.

It is an arithmetic number, because the mean of its divisors is an integer number (68200272).

Almost surely, 23442882443 is an apocalyptic number.

3442882443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3442882443 is a deficient number, since it is larger than the sum of its proper divisors (3104343669).

3442882443 is a wasteful number, since it uses less digits than its factorization.

3442882443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7185 (or 7178 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The square root of 3442882443 is about 58676.0806717695. The cubic root of 3442882443 is about 1509.9899774198.

The spelling of 3442882443 in words is "three billion, four hundred forty-two million, eight hundred eighty-two thousand, four hundred forty-three".

Divisors: 1 3 7 11 13 21 23 33 39 49 69 77 91 143 147 161 231 253 273 299 429 483 539 637 759 897 1001 1127 1617 1771 1911 2093 3003 3289 3381 5313 6279 7007 7121 9867 12397 14651 21021 21363 23023 37191 43953 49847 69069 78331 92573 149541 161161 163783 234993 277719 348929 483483 491349 548317 648011 1018303 1046787 1146481 1644951 1801613 1944033 2129179 3054909 3439443 3838219 4536077 5404839 6387537 7128121 8025367 11514657 12611291 13608231 14904253 21384363 23420969 24076101 37833873 44712759 49896847 70262907 88279037 104329771 149690541 163946783 264837111 312989313 491840349 1147627481 3442882443