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4333440342 = 2372115992237
BaseRepresentation
bin1000000100100101…
…10000110101010110
3102012000010120121110
410002102300311112
532333330042332
61554000355450
7212246430600
oct40222606526
912160116543
104333440342
111924128960
12a0b315b86
13540a2a3aa
142d1750170
151a568c4cc
hex1024b0d56

4333440342 has 96 divisors (see below), whose sum is σ = 11021702400. Its totient is φ = 1123187520.

The previous prime is 4333440337. The next prime is 4333440343. The reversal of 4333440342 is 2430443334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4333440343) 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 47 ways as a sum of consecutive naturals, for example, 1936048 + ... + 1938284.

It is an arithmetic number, because the mean of its divisors is an integer number (114809400).

Almost surely, 24333440342 is an apocalyptic number.

4333440342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4333440342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510851200).

4333440342 is an abundant number, since it is smaller than the sum of its proper divisors (6688262058).

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

4333440342 is a wasteful number, since it uses less digits than its factorization.

4333440342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

The square root of 4333440342 is about 65828.8716445907. The cubic root of 4333440342 is about 1630.3378353034.

Adding to 4333440342 its reverse (2430443334), we get a palindrome (6763883676).

The spelling of 4333440342 in words is "four billion, three hundred thirty-three million, four hundred forty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 599 1078 1198 1617 1797 2237 3234 3594 4193 4474 6589 6711 8386 12579 13178 13422 15659 19767 24607 25158 29351 31318 39534 46123 46977 49214 58702 73821 88053 92246 93954 109613 138369 147642 172249 176106 219226 276738 322861 328839 344498 516747 645722 657678 968583 1033494 1205743 1339963 1937166 2411486 2679926 3617229 4019889 7234458 8039778 9379741 14739593 18759482 28139223 29479186 44218779 56278446 65658187 88437558 103177151 131316374 196974561 206354302 309531453 393949122 619062906 722240057 1444480114 2166720171 4333440342