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3380159808 = 26341733769
BaseRepresentation
bin1100100101111001…
…0010010101000000
322201120100220120000
43021132102111000
523410310103213
61315224320000
7146522612214
oct31136222500
98646326500
103380159808
111485015103
127a4013000
1341b39a37c
14240cc4944
1514bb38c73
hexc9792540

3380159808 has 140 divisors (see below), whose sum is σ = 10080444660. Its totient is φ = 1119909888.

The previous prime is 3380159789. The next prime is 3380159821. The reversal of 3380159808 is 8089510833.

It can be written as a sum of positive squares in 2 ways, for example, as 2947186944 + 432972864 = 54288^2 + 20808^2 .

It is a super-2 number, since 2×33801598082 = 22850960655237193728, 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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 894948 + ... + 898716.

Almost surely, 23380159808 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 3380159808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040222330).

3380159808 is an abundant number, since it is smaller than the sum of its proper divisors (6700284852).

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

3380159808 is a wasteful number, since it uses less digits than its factorization.

3380159808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 3380159808 is about 58139.1417893316. The cubic root of 3380159808 is about 1500.7640267760.

The spelling of 3380159808 in words is "three billion, three hundred eighty million, one hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 173 192 216 288 324 346 432 519 576 648 692 864 1038 1296 1384 1557 1728 2076 2592 2768 3114 3769 4152 4671 5184 5536 6228 7538 8304 9342 11072 11307 12456 14013 15076 16608 18684 22614 24912 28026 30152 33216 33921 37368 45228 49824 56052 60304 67842 74736 90456 99648 101763 112104 120608 135684 149472 180912 203526 224208 241216 271368 298944 305289 361824 407052 448416 542736 610578 652037 723648 814104 896832 1085472 1221156 1304074 1628208 1956111 2170944 2442312 2608148 3256416 3912222 4884624 5216296 5868333 6512832 7824444 9769248 10432592 11736666 15648888 17604999 19538496 20865184 23473332 31297776 35209998 41730368 46946664 52814997 62595552 70419996 93893328 105629994 125191104 140839992 187786656 211259988 281679984 375573312 422519976 563359968 845039952 1126719936 1690079904 3380159808