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3385285940 = 225437353923
BaseRepresentation
bin1100100111000111…
…0101110100110100
322201221000100021202
43021301311310310
523413113122230
61315530232032
7146614312211
oct31161656464
98657010252
103385285940
1114879a6483
127a5885618
1341c47369a
1424185ab08
1514c2eca45
hexc9c75d34

3385285940 has 48 divisors (see below), whose sum is σ = 7374214848. Its totient is φ = 1304481024.

The previous prime is 3385285931. The next prime is 3385286017. The reversal of 3385285940 is 495825833.

It is a super-2 number, since 2×33852859402 = 22920321791123367200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35819 + ... + 89741.

It is an arithmetic number, because the mean of its divisors is an integer number (153629476).

Almost surely, 23385285940 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 3385285940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687107424).

3385285940 is an abundant number, since it is smaller than the sum of its proper divisors (3988928908).

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

3385285940 is a wasteful number, since it uses less digits than its factorization.

3385285940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54048 (or 54046 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The square root of 3385285940 is about 58183.2101211337. The cubic root of 3385285940 is about 1501.5222975139.

The spelling of 3385285940 in words is "three billion, three hundred eighty-five million, two hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 43 73 86 146 172 215 292 365 430 730 860 1460 3139 6278 12556 15695 31390 53923 62780 107846 215692 269615 539230 1078460 2318689 3936379 4637378 7872758 9274756 11593445 15745516 19681895 23186890 39363790 46373780 78727580 169264297 338528594 677057188 846321485 1692642970 3385285940