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3338369020 = 225723479817
BaseRepresentation
bin1100011011111011…
…0111011111111100
322121122201201101001
43012332313133330
523314110302040
61311132500044
7145504445200
oct30676673774
98548651331
103338369020
111463471068
1279201a624
134128276ac
14239526b00
1514813159a
hexc6fb77fc

3338369020 has 72 divisors (see below), whose sum is σ = 8179493616. Its totient is φ = 1141168896.

The previous prime is 3338369011. The next prime is 3338369039. The reversal of 3338369020 is 209638333.

It is a super-2 number, since 2×33383690202 = 22289415427391520800, 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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335152 + ... + 344968.

It is an arithmetic number, because the mean of its divisors is an integer number (113604078).

Almost surely, 23338369020 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 3338369020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089746808).

3338369020 is an abundant number, since it is smaller than the sum of its proper divisors (4841124596).

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

3338369020 is a wasteful number, since it uses less digits than its factorization.

3338369020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10187 (or 10178 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 3338369020 is about 57778.6207865851. The cubic root of 3338369020 is about 1494.5534353740.

The spelling of 3338369020 in words is "three billion, three hundred thirty-eight million, three hundred sixty-nine thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 347 490 694 980 1388 1735 2429 3470 4858 6940 9716 9817 12145 17003 19634 24290 34006 39268 48580 49085 68012 68719 85015 98170 137438 170030 196340 274876 340060 343595 481033 687190 962066 1374380 1924132 2405165 3406499 4810330 6812998 9620660 13625996 17032495 23845493 34064990 47690986 68129980 95381972 119227465 166918451 238454930 333836902 476909860 667673804 834592255 1669184510 3338369020