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3385029312 = 26337279847
BaseRepresentation
bin1100100111000011…
…0111001011000000
322201220112022021000
43021300313023000
523413031414222
61315520532000
7146612163060
oct31160671300
98656468230
103385029312
111487840695
127a5781000
1341c3b3932
142417d13a0
1514c29b9ac
hexc9c372c0

3385029312 has 112 divisors (see below), whose sum is σ = 11373022720. Its totient is φ = 967147776.

The previous prime is 3385029311. The next prime is 3385029353. The reversal of 3385029312 is 2139205833.

3385029312 is a `hidden beast` number, since 338 + 5 + 0 + 2 + 9 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33850293122 = 22916846886198386688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3385029311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127828 + ... + 152019.

Almost surely, 23385029312 is an apocalyptic number.

3385029312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3385029312 is an abundant number, since it is smaller than the sum of its proper divisors (7987993408).

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

3385029312 is a wasteful number, since it uses less digits than its factorization.

3385029312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279875 (or 279859 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3385029312 is about 58181.0047352226. The cubic root of 3385029312 is about 1501.4843546430.

The spelling of 3385029312 in words is "three billion, three hundred eighty-five million, twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 279847 559694 839541 1119388 1679082 1958929 2238776 2518623 3358164 3917858 4477552 5037246 5876787 6716328 7555869 7835716 8955104 10074492 11753574 13432656 15111738 15671432 17630361 17910208 20148984 23507148 26865312 30223476 31342864 35260722 40297968 47014296 52891083 53730624 60446952 62685728 70521444 80595936 94028592 105782166 120893904 125371456 141042888 161191872 188057184 211564332 241787808 282085776 376114368 423128664 483575616 564171552 846257328 1128343104 1692514656 3385029312