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3380623512 = 2337411932543
BaseRepresentation
bin1100100110000000…
…0011100010011000
322201121020110122020
43021200003202120
523410414423022
61315242254440
7146526553140
oct31140034230
98647213566
103380623512
111485301532
127a41b7420
1341b500456
14240da5920
1514bbcb35c
hexc9803898

3380623512 has 128 divisors (see below), whose sum is σ = 9949685760. Its totient is φ = 937082880.

The previous prime is 3380623487. The next prime is 3380623517. The reversal of 3380623512 is 2153260833.

It is a super-2 number, since 2×33806235122 = 22857230659774428288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380623517) 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, 1328113 + ... + 1330655.

It is an arithmetic number, because the mean of its divisors is an integer number (77731920).

Almost surely, 23380623512 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 3380623512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974842880).

3380623512 is an abundant number, since it is smaller than the sum of its proper divisors (6569062248).

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

3380623512 is a wasteful number, since it uses less digits than its factorization.

3380623512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3380623512 is about 58143.1295339355. The cubic root of 3380623512 is about 1500.8326505987.

The spelling of 3380623512 in words is "three billion, three hundred eighty million, six hundred twenty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 193 246 287 328 386 492 574 579 772 861 984 1148 1158 1351 1544 1722 2296 2316 2543 2702 3444 4053 4632 5086 5404 6888 7629 7913 8106 10172 10808 15258 15826 16212 17801 20344 23739 30516 31652 32424 35602 47478 53403 55391 61032 63304 71204 94956 104263 106806 110782 142408 166173 189912 208526 213612 221564 312789 332346 417052 427224 443128 490799 625578 664692 729841 834104 981598 1251156 1329384 1459682 1472397 1963196 2189523 2502312 2919364 2944794 3435593 3926392 4379046 5838728 5889588 6871186 8758092 10306779 11779176 13742372 17516184 20122759 20613558 27484744 40245518 41227116 60368277 80491036 82454232 120736554 140859313 160982072 241473108 281718626 422577939 482946216 563437252 845155878 1126874504 1690311756 3380623512