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3385281840 = 243531455011
BaseRepresentation
bin1100100111000111…
…0100110100110000
322201221000010122220
43021301310310300
523413113004330
61315530201040
7146614264233
oct31161646460
98657003586
103385281840
1114879a3396
127a5883180
1341c471865
1424185941a
1514c2eb710
hexc9c74d30

3385281840 has 80 divisors (see below), whose sum is σ = 10832925696. Its totient is φ = 873619200.

The previous prime is 3385281839. The next prime is 3385281857. The reversal of 3385281840 is 481825833.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33852818402 = 22920266272467571200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3385281792 and 3385281801.

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, 220066 + ... + 234945.

Almost surely, 23385281840 is an apocalyptic number.

3385281840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3385281840 is an abundant number, since it is smaller than the sum of its proper divisors (7447643856).

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

3385281840 is a wasteful number, since it uses less digits than its factorization.

3385281840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455058 (or 455052 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 3385281840 is about 58183.1748875910. The cubic root of 3385281840 is about 1501.5216913372.

The spelling of 3385281840 in words is "three billion, three hundred eighty-five million, two hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 455011 910022 1365033 1820044 2275055 2730066 3640088 4550110 5460132 6825165 7280176 9100220 10920264 13650330 14105341 18200440 21840528 27300660 28210682 36400880 42316023 54601320 56421364 70526705 84632046 109202640 112842728 141053410 169264092 211580115 225685456 282106820 338528184 423160230 564213640 677056368 846320460 1128427280 1692640920 3385281840