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3385443087 = 3313176171131
BaseRepresentation
bin1100100111001001…
…1100001100001111
322201221022022212000
43021302130030033
523413133134322
61315533443343
7146615535315
oct31162341417
98657268760
103385443087
111487aa3554
127a5940553
1341c4ca080
1424189c0b5
1514c32e3ac
hexc9c9c30f

3385443087 has 128 divisors (see below), whose sum is σ = 5939619840. Its totient is φ = 1886976000.

The previous prime is 3385443073. The next prime is 3385443101. The reversal of 3385443087 is 7803445833.

3385443087 is a `hidden beast` number, since 338 + 5 + 4 + 4 + 308 + 7 = 666.

3385443087 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3385443073) and next prime (3385443101).

It is not a de Polignac number, because 3385443087 - 26 = 3385443023 is a prime.

It is a super-3 number, since 3×33854430873 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385443287) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25843012 + ... + 25843142.

It is an arithmetic number, because the mean of its divisors is an integer number (46403280).

Almost surely, 23385443087 is an apocalyptic number.

3385443087 is a deficient number, since it is larger than the sum of its proper divisors (2554176753).

3385443087 is a wasteful number, since it uses less digits than its factorization.

3385443087 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3385443087 is about 58184.5605551851. The cubic root of 3385443087 is about 1501.5455310090.

The spelling of 3385443087 in words is "three billion, three hundred eighty-five million, four hundred forty-three thousand, eighty-seven".

Divisors: 1 3 9 13 17 27 39 51 61 71 117 131 153 183 213 221 351 393 459 549 639 663 793 923 1037 1179 1207 1647 1703 1917 1989 2227 2379 2769 3111 3537 3621 4331 5109 5967 6681 7137 7991 8307 9301 9333 10863 12993 13481 15327 15691 20043 21411 23973 24921 27903 27999 28951 32589 38979 40443 45981 47073 56303 60129 71919 73627 83709 86853 103883 116937 120913 121329 135847 141219 158117 168909 215757 220881 251127 260559 311649 362739 363987 407541 423657 474351 506727 567361 662643 781677 934947 957151 1088217 1222623 1423053 1520181 1702083 1766011 1987929 2055521 2804841 2871453 3264651 3667869 4269159 5106249 5298033 6166563 7375693 8614359 9645137 15318747 15894099 18499689 22127079 25843077 28935411 47682297 55499067 66381237 86806233 125386781 199143711 260418699 376160343 1128481029 3385443087