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3330026040 = 2335115347599
BaseRepresentation
bin1100011001111100…
…0010101000111000
322121002000211221210
43012133002220320
523304441313130
61310234003120
7145343516505
oct30637025070
98532024853
103330026040
111459792940
1278b2764a0
13410b96113
142383944ac
151475345b0
hexc67c2a38

3330026040 has 128 divisors (see below), whose sum is σ = 11104128000. Its totient is φ = 792030720.

The previous prime is 3330026039. The next prime is 3330026069. The reversal of 3330026040 is 406200333.

It is a super-2 number, since 2×33300260402 = 22178146854156163200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3330025998 and 3330026016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46161 + ... + 93759.

It is an arithmetic number, because the mean of its divisors is an integer number (86751000).

Almost surely, 23330026040 is an apocalyptic number.

3330026040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330026040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552064000).

3330026040 is an abundant number, since it is smaller than the sum of its proper divisors (7774101960).

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

3330026040 is a wasteful number, since it uses less digits than its factorization.

3330026040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47677 (or 47673 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3330026040 is about 57706.3778104292. The cubic root of 3330026040 is about 1493.3073746993.

Adding to 3330026040 its reverse (406200333), we get a palindrome (3736226373).

It can be divided in two parts, 33300 and 26040, that added together give a triangular number (59340 = T344).

The spelling of 3330026040 in words is "three billion, three hundred thirty million, twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 264 265 318 330 424 440 530 583 636 660 795 1060 1166 1272 1320 1590 1749 2120 2332 2915 3180 3498 4664 5830 6360 6996 8745 11660 13992 17490 23320 34980 47599 69960 95198 142797 190396 237995 285594 380792 475990 523589 571188 713985 951980 1047178 1142376 1427970 1570767 1903960 2094356 2522747 2617945 2855940 3141534 4188712 5045494 5235890 5711880 6283068 7568241 7853835 10090988 10471780 12566136 12613735 15136482 15707670 20181976 20943560 25227470 27750217 30272964 31415340 37841205 50454940 55500434 60545928 62830680 75682410 83250651 100909880 111000868 138751085 151364820 166501302 222001736 277502170 302729640 333002604 416253255 555004340 666005208 832506510 1110008680 1665013020 3330026040