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3332985880 = 23573277877
BaseRepresentation
bin1100011010101001…
…0101010000011000
322121021121020002111
43012222111100120
523311221022010
61310421242104
7145410625000
oct30652252030
98537536074
103332985880
111460424694
12790263334
134116913c3
14238925000
1514791b58a
hexc6a95418

3332985880 has 128 divisors (see below), whose sum is σ = 8787024000. Its totient is φ = 1137314304.

The previous prime is 3332985869. The next prime is 3332985883. The reversal of 3332985880 is 885892333.

It is a happy number.

It is a super-2 number, since 2×33329858802 = 22217589752558748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332985883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3800002 + ... + 3800878.

It is an arithmetic number, because the mean of its divisors is an integer number (68648625).

Almost surely, 23332985880 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 3332985880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393512000).

3332985880 is an abundant number, since it is smaller than the sum of its proper divisors (5454038120).

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

3332985880 is a wasteful number, since it uses less digits than its factorization.

3332985880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 3332985880 is about 57732.0178064131. The cubic root of 3332985880 is about 1493.7496777483.

The spelling of 3332985880 in words is "three billion, three hundred thirty-two million, nine hundred eighty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 277 280 343 392 490 554 686 877 980 1108 1372 1385 1715 1754 1939 1960 2216 2744 2770 3430 3508 3878 4385 5540 6139 6860 7016 7756 8770 9695 11080 12278 13573 13720 15512 17540 19390 24556 27146 30695 35080 38780 42973 49112 54292 61390 67865 77560 85946 95011 108584 122780 135730 171892 190022 214865 242929 245560 271460 300811 343784 380044 429730 475055 485858 542920 601622 760088 859460 950110 971716 1203244 1214645 1504055 1700503 1718920 1900220 1943432 2406488 2429290 3008110 3401006 3800440 4858580 6016220 6802012 8502515 9717160 11903521 12032440 13604024 17005030 23807042 34010060 47614084 59517605 68020120 83324647 95228168 119035210 166649294 238070420 333298588 416623235 476140840 666597176 833246470 1666492940 3332985880