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3375352080 = 243354336341
BaseRepresentation
bin1100100100101111…
…1100100100010000
322201020022122121000
43021023330210100
523403042231310
61314533302000
7146434006422
oct31113744420
98636278530
103375352080
111482330a81
127a2494900
1341a3a5c69
142403d2812
1514b4d94c0
hexc92fc910

3375352080 has 160 divisors (see below), whose sum is σ = 11896917120. Its totient is φ = 879137280.

The previous prime is 3375352069. The next prime is 3375352081. The reversal of 3375352080 is 802535733.

3375352080 is a `hidden beast` number, since 3 + 3 + 7 + 53 + 520 + 80 = 666.

It is a super-2 number, since 2×33753520802 = 22786003327920652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3375352081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74710 + ... + 111050.

It is an arithmetic number, because the mean of its divisors is an integer number (74355732).

Almost surely, 23375352080 is an apocalyptic number.

3375352080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3375352080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948458560).

3375352080 is an abundant number, since it is smaller than the sum of its proper divisors (8521565040).

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

3375352080 is a wasteful number, since it uses less digits than its factorization.

3375352080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36406 (or 36394 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3375352080 is about 58097.7803362573. The cubic root of 3375352080 is about 1500.0521581863.

The spelling of 3375352080 in words is "three billion, three hundred seventy-five million, three hundred fifty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 43 45 48 54 60 72 80 86 90 108 120 129 135 144 172 180 215 216 240 258 270 344 360 387 430 432 516 540 645 688 720 774 860 1032 1080 1161 1290 1548 1720 1935 2064 2160 2322 2580 3096 3440 3870 4644 5160 5805 6192 7740 9288 10320 11610 15480 18576 23220 30960 36341 46440 72682 92880 109023 145364 181705 218046 290728 327069 363410 436092 545115 581456 654138 726820 872184 981207 1090230 1308276 1453640 1562663 1635345 1744368 1962414 2180460 2616552 2907280 3125326 3270690 3924828 4360920 4687989 4906035 5233104 6250652 6541380 7813315 7849656 8721840 9375978 9812070 12501304 13082760 14063967 15626630 15699312 18751956 19624140 23439945 25002608 26165520 28127934 31253260 37503912 39248280 42191901 46879890 56255868 62506520 70319835 75007824 78496560 84383802 93759780 112511736 125013040 140639670 168767604 187519560 210959505 225023472 281279340 337535208 375039120 421919010 562558680 675070416 843838020 1125117360 1687676040 3375352080