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3331290520 = 2351961181397
BaseRepresentation
bin1100011010001111…
…0111010110011000
322121011102002111101
43012203313112120
523310302244040
61310321041144
7145360334155
oct30643672630
98534362441
103331290520
11145a476968
1278b7861b4
1341121982c
1423860322c
151476d409a
hexc68f7598

3331290520 has 128 divisors (see below), whose sum is σ = 8083857600. Its totient is φ = 1231718400.

The previous prime is 3331290517. The next prime is 3331290553. The reversal of 3331290520 is 250921333.

It is a super-2 number, since 2×33312905202 = 22194993057283740800, 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 31 ways as a sum of consecutive naturals, for example, 8390962 + ... + 8391358.

Almost surely, 23331290520 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 3331290520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041928800).

3331290520 is an abundant number, since it is smaller than the sum of its proper divisors (4752567080).

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

3331290520 is a wasteful number, since it uses less digits than its factorization.

3331290520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 3331290520 is about 57717.3329252141. The cubic root of 3331290520 is about 1493.4963640479.

The spelling of 3331290520 in words is "three billion, three hundred thirty-one million, two hundred ninety thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 61 76 95 122 152 181 190 244 305 362 380 397 488 610 724 760 794 905 1159 1220 1448 1588 1810 1985 2318 2440 3176 3439 3620 3970 4636 5795 6878 7240 7543 7940 9272 11041 11590 13756 15086 15880 17195 22082 23180 24217 27512 30172 34390 37715 44164 46360 48434 55205 60344 68780 71857 75430 88328 96868 110410 121085 137560 143714 150860 193736 209779 220820 242170 287428 301720 359285 419558 441640 460123 484340 574856 718570 839116 920246 968680 1048895 1365283 1437140 1678232 1840492 2097790 2300615 2730566 2874280 3680984 4195580 4383277 4601230 5461132 6826415 8391160 8766554 9202460 10922264 13652830 17533108 18404920 21916385 27305660 35066216 43832770 54611320 83282263 87665540 166564526 175331080 333129052 416411315 666258104 832822630 1665645260 3331290520