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3440033334 = 23317191671181
BaseRepresentation
bin1100110100001010…
…1011111000110110
322212202000210121000
43031002223320312
524021122031314
61325203504130
7151150541463
oct31502537066
98782023530
103440033334
111505899a61
12800088046
1342a9018aa
14248c2c66a
15152014209
hexcd0abe36

3440033334 has 128 divisors (see below), whose sum is σ = 8578483200. Its totient is φ = 1015441920.

The previous prime is 3440033323. The next prime is 3440033339. The reversal of 3440033334 is 4333300443.

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

It is a junction number, because it is equal to n+sod(n) for n = 3440033298 and 3440033307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440033339) 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 63 ways as a sum of consecutive naturals, for example, 2912224 + ... + 2913404.

It is an arithmetic number, because the mean of its divisors is an integer number (67019400).

Almost surely, 23440033334 is an apocalyptic number.

3440033334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440033334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289241600).

3440033334 is an abundant number, since it is smaller than the sum of its proper divisors (5138449866).

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

3440033334 is a wasteful number, since it uses less digits than its factorization.

3440033334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

The square root of 3440033334 is about 58651.7973637637. The cubic root of 3440033334 is about 1509.5733388064.

Adding to 3440033334 its reverse (4333300443), we get a palindrome (7773333777).

The spelling of 3440033334 in words is "three billion, four hundred forty million, thirty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 167 171 306 323 334 342 459 501 513 646 918 969 1002 1026 1181 1503 1938 2362 2839 2907 3006 3173 3543 4509 5678 5814 6346 7086 8517 8721 9018 9519 10629 17034 17442 19038 20077 21258 22439 25551 28557 31887 40154 44878 51102 53941 57114 60231 63774 67317 76653 85671 107882 120462 134634 153306 161823 171342 180693 197227 201951 323646 361386 381463 394454 403902 485469 542079 591681 605853 762926 970938 1084158 1144389 1183362 1211706 1456407 1775043 2288778 2912814 3352859 3433167 3550086 3747313 5325129 6705718 6866334 7494626 10058577 10299501 10650258 11241939 20117154 20599002 22483878 30175731 33725817 60351462 63704321 67451634 90527193 101177451 127408642 181054386 191112963 202354902 382225926 573338889 1146677778 1720016667 3440033334