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3330023320 = 235132472223
BaseRepresentation
bin1100011001111100…
…0001111110011000
322121002000201020001
43012133001332120
523304441221240
61310233542344
7145343505541
oct30637017630
98532021201
103330023320
111459790898
1278b2749b4
13410b94b00
142383934c8
1514753389a
hexc67c1f98

3330023320 has 144 divisors (see below), whose sum is σ = 8326704960. Its totient is φ = 1197990144.

The previous prime is 3330023309. The next prime is 3330023363. The reversal of 3330023320 is 233200333.

It is a super-2 number, since 2×33300233202 = 22178110623487644800, which contains 22 as substring.

It is a zygodrome in base 2.

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 35 ways as a sum of consecutive naturals, for example, 14932729 + ... + 14932951.

It is an arithmetic number, because the mean of its divisors is an integer number (57824340).

Almost surely, 23330023320 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 3330023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163352480).

3330023320 is an abundant number, since it is smaller than the sum of its proper divisors (4996681640).

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

3330023320 is a wasteful number, since it uses less digits than its factorization.

3330023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 19.

The square root of 3330023320 is about 57706.3542428388. The cubic root of 3330023320 is about 1493.3069681162.

Adding to 3330023320 its reverse (233200333), we get a palindrome (3563223653).

The spelling of 3330023320 in words is "three billion, three hundred thirty million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 169 188 223 235 260 338 376 446 470 520 611 676 845 892 940 1115 1222 1352 1690 1784 1880 2209 2230 2444 2899 3055 3380 4418 4460 4888 5798 6110 6760 7943 8836 8920 10481 11045 11596 12220 14495 15886 17672 20962 22090 23192 24440 28717 28990 31772 37687 39715 41924 44180 52405 57434 57980 63544 75374 79430 83848 88360 104810 114868 115960 136253 143585 150748 158860 188435 209620 229736 272506 287170 301496 317720 373321 376870 419240 492607 545012 574340 681265 746642 753740 985214 1090024 1148680 1362530 1493284 1507480 1771289 1866605 1970428 2463035 2725060 2986568 3542578 3733210 3940856 4926070 5450120 6403891 7085156 7466420 8856445 9852140 12807782 14170312 14932840 17712890 19704280 25615564 32019455 35425780 51231128 64038910 70851560 83250583 128077820 166501166 256155640 333002332 416252915 666004664 832505830 1665011660 3330023320