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4434334338 = 237377339089
BaseRepresentation
bin1000010000100111…
…01001001010000010
3102110000222112011010
410020103221022002
533040142144323
62012003101350
7214613135310
oct41023511202
912400875133
104434334338
111976080025
12a39071856
135588c4a95
14300cd50b0
151ae46bc93
hex1084e9282

4434334338 has 64 divisors (see below), whose sum is σ = 10552423680. Its totient is φ = 1215793152.

The previous prime is 4434334337. The next prime is 4434334343. The reversal of 4434334338 is 8334334344.

It is a junction number, because it is equal to n+sod(n) for n = 4434334296 and 4434334305.

It is not an unprimeable number, because it can be changed into a prime (4434334337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93898 + ... + 132986.

It is an arithmetic number, because the mean of its divisors is an integer number (164881620).

Almost surely, 24434334338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434334338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276211840).

4434334338 is an abundant number, since it is smaller than the sum of its proper divisors (6118089342).

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

4434334338 is a wasteful number, since it uses less digits than its factorization.

4434334338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39211.

The product of its digits is 497664, while the sum is 39.

The square root of 4434334338 is about 66590.7976975798. The cubic root of 4434334338 is about 1642.8937530536.

The spelling of 4434334338 in words is "four billion, four hundred thirty-four million, three hundred thirty-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 37 42 73 74 111 146 219 222 259 438 511 518 777 1022 1533 1554 2701 3066 5402 8103 16206 18907 37814 39089 56721 78178 113442 117267 234534 273623 547246 820869 1446293 1641738 2853497 2892586 4338879 5706994 8560491 8677758 10124051 17120982 19974479 20248102 30372153 39948958 59923437 60744306 105579389 119846874 211158778 316738167 633476334 739055723 1478111446 2217167169 4434334338