Search a number
-
+
3371482080 = 253254354449
BaseRepresentation
bin1100100011110100…
…1011101111100000
322200222001000221200
43020331023233200
523401044411310
61314314321200
7146356060551
oct31075135740
98628030850
103371482080
11148012842a
127a1129200
1341964c615
1423daa6328
1514aec29c0
hexc8f4bbe0

3371482080 has 144 divisors (see below), whose sum is σ = 11772961200. Its totient is φ = 878137344.

The previous prime is 3371482063. The next prime is 3371482099. The reversal of 3371482080 is 802841733.

3371482080 is a `hidden beast` number, since 33 + 71 + 482 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33714820802 = 22733782831522252800, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 34696 + ... + 89144.

It is an arithmetic number, because the mean of its divisors is an integer number (81756675).

Almost surely, 23371482080 is an apocalyptic number.

3371482080 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 3371482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886480600).

3371482080 is an abundant number, since it is smaller than the sum of its proper divisors (8401479120).

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

3371482080 is a wasteful number, since it uses less digits than its factorization.

3371482080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54513 (or 54502 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3371482080 is about 58064.4648644935. The cubic root of 3371482080 is about 1499.4786454806.

The spelling of 3371482080 in words is "three billion, three hundred seventy-one million, four hundred eighty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 172 180 215 240 258 288 344 360 387 430 480 516 645 688 720 774 860 1032 1290 1376 1440 1548 1720 1935 2064 2580 3096 3440 3870 4128 5160 6192 6880 7740 10320 12384 15480 20640 30960 54449 61920 108898 163347 217796 272245 326694 435592 490041 544490 653388 816735 871184 980082 1088980 1306776 1633470 1742368 1960164 2177960 2341307 2450205 2613552 3266940 3920328 4355920 4682614 4900410 5227104 6533880 7023921 7840656 8711840 9365228 9800820 11706535 13067760 14047842 15681312 18730456 19601640 21071763 23413070 26135520 28095684 35119605 37460912 39203280 42143526 46826140 56191368 70239210 74921824 78406560 84287052 93652280 105358815 112382736 140478420 168574104 187304560 210717630 224765472 280956840 337148208 374609120 421435260 561913680 674296416 842870520 1123827360 1685741040 3371482080