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3330325040 = 245731414679
BaseRepresentation
bin1100011010000000…
…1011101000110000
322121002121001002212
43012200023220300
523310030400130
61310244231252
7145346203310
oct30640135060
98532531085
103330325040
111459977549
1278b39b528
13410c6c243
14238431440
15147592e95
hexc680ba30

3330325040 has 160 divisors (see below), whose sum is σ = 9359400960. Its totient is φ = 1077811200.

The previous prime is 3330325001. The next prime is 3330325067. The reversal of 3330325040 is 405230333.

It is a super-2 number, since 2×33303250402 = 22182129744102003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3330324997 and 3330325015.

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, 709421 + ... + 714099.

It is an arithmetic number, because the mean of its divisors is an integer number (58496256).

Almost surely, 23330325040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679700480).

3330325040 is an abundant number, since it is smaller than the sum of its proper divisors (6029075920).

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

3330325040 is a wasteful number, since it uses less digits than its factorization.

3330325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 23.

The square root of 3330325040 is about 57708.9684537854. The cubic root of 3330325040 is about 1493.3520675973.

Adding to 3330325040 its reverse (405230333), we get a palindrome (3735555373).

The spelling of 3330325040 in words is "three billion, three hundred thirty million, three hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 41 56 62 70 80 82 112 124 140 155 164 205 217 248 280 287 310 328 410 434 496 560 574 620 656 820 868 1085 1148 1240 1271 1435 1640 1736 2170 2296 2480 2542 2870 3280 3472 4340 4592 4679 5084 5740 6355 8680 8897 9358 10168 11480 12710 17360 17794 18716 20336 22960 23395 25420 32753 35588 37432 44485 46790 50840 65506 71176 74864 88970 93580 101680 131012 142352 145049 163765 177940 187160 191839 262024 290098 327530 355880 374320 383678 524048 580196 655060 711760 725245 767356 959195 1015343 1160392 1310120 1342873 1450490 1534712 1918390 2030686 2320784 2620240 2685746 2900980 3069424 3836780 4061372 5076715 5371492 5801960 5947009 6714365 7673560 8122744 10153430 10742984 11603920 11894018 13428730 15347120 16245488 20306860 21485968 23788036 26857460 29735045 40613720 41629063 47576072 53714920 59470090 81227440 83258126 95152144 107429840 118940180 166516252 208145315 237880360 333032504 416290630 475760720 666065008 832581260 1665162520 3330325040