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3338366064 = 2431122672789
BaseRepresentation
bin1100011011111011…
…0110110001110000
322121122201120022120
43012332312301300
523314110203224
61311132434240
7145504433445
oct30676666160
98548646276
103338366064
111463469920
12792018980
13412826247
142395259cc
15148130779
hexc6fb6c70

3338366064 has 80 divisors (see below), whose sum is σ = 9415647360. Its totient is φ = 1010817280.

The previous prime is 3338366023. The next prime is 3338366077. The reversal of 3338366064 is 4606638333.

It is a super-2 number, since 2×33383660642 = 22289375954533704192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195582 + ... + 1198370.

It is an arithmetic number, because the mean of its divisors is an integer number (117695592).

Almost surely, 23338366064 is an apocalyptic number.

It is an amenable number.

3338366064 is an abundant number, since it is smaller than the sum of its proper divisors (6077281296).

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

3338366064 is a wasteful number, since it uses less digits than its factorization.

3338366064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The square root of 3338366064 is about 57778.5952061834. The cubic root of 3338366064 is about 1494.5529942503.

It can be divided in two parts, 333836 and 6064, that added together give a triangular number (339900 = T824).

The spelling of 3338366064 in words is "three billion, three hundred thirty-eight million, three hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2267 2789 4534 5578 6801 8367 9068 11156 13602 16734 18136 22312 24937 27204 30679 33468 36272 44624 49874 54408 61358 66936 74811 92037 99748 108816 122716 133872 149622 184074 199496 245432 299244 368148 398992 490864 598488 736296 1196976 1472592 6322663 12645326 18967989 25290652 37935978 50581304 69549293 75871956 101162608 139098586 151743912 208647879 278197172 303487824 417295758 556394344 834591516 1112788688 1669183032 3338366064