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3316295680 = 2115312337
BaseRepresentation
bin1100010110101010…
…1010100000000000
322120010012021102221
43011222222200000
523242432430210
61305023420424
7145116022345
oct30552524000
98503167387
103316295680
111451a65035
12786754714
1340b099649
1423661c7cc
151462211da
hexc5aaa800

3316295680 has 144 divisors (see below), whose sum is σ = 8246527380. Its totient is φ = 1279918080.

The previous prime is 3316295657. The next prime is 3316295729. The reversal of 3316295680 is 865926133.

It can be written as a sum of positive squares in 2 ways, for example, as 3197223936 + 119071744 = 56544^2 + 10912^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9840472 + ... + 9840808.

Almost surely, 23316295680 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 3316295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123263690).

3316295680 is an abundant number, since it is smaller than the sum of its proper divisors (4930231700).

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

3316295680 is an equidigital number, since it uses as much as digits as its factorization.

3316295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 3316295680 is about 57587.2874860416. The cubic root of 3316295680 is about 1491.2521462482.

The spelling of 3316295680 in words is "three billion, three hundred sixteen million, two hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 337 496 512 620 640 674 961 992 1024 1240 1280 1348 1685 1922 1984 2048 2480 2560 2696 3370 3844 3968 4805 4960 5120 5392 6740 7688 7936 9610 9920 10240 10447 10784 13480 15376 15872 19220 19840 20894 21568 26960 30752 31744 38440 39680 41788 43136 52235 53920 61504 63488 76880 79360 83576 86272 104470 107840 123008 153760 158720 167152 172544 208940 215680 246016 307520 317440 323857 334304 345088 417880 431360 492032 615040 647714 668608 690176 835760 862720 984064 1230080 1295428 1337216 1619285 1671520 1725440 1968128 2460160 2590856 2674432 3238570 3343040 3450880 4920320 5181712 5348864 6477140 6686080 9840640 10363424 10697728 12954280 13372160 20726848 21395456 25908560 26744320 41453696 51817120 53488640 82907392 103634240 106977280 165814784 207268480 331629568 414536960 663259136 829073920 1658147840 3316295680