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3385031136 = 253375317981
BaseRepresentation
bin1100100111000011…
…0111100111100000
322201220112101202120
43021300313213200
523413031444021
61315520544240
7146612201304
oct31160674740
98656471676
103385031136
111487841aa3
127a5782080
1341c3b4706
142417d1d04
1514c29c2c6
hexc9c379e0

3385031136 has 96 divisors (see below), whose sum is σ = 9298564128. Its totient is φ = 1077073920.

The previous prime is 3385031129. The next prime is 3385031137. The reversal of 3385031136 is 6311305833.

3385031136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33850311362 = 22916871583378900992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3385031097 and 3385031106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385031137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179266 + ... + 197246.

It is an arithmetic number, because the mean of its divisors is an integer number (96860043).

Almost surely, 23385031136 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 3385031136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649282064).

3385031136 is an abundant number, since it is smaller than the sum of its proper divisors (5913532992).

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

3385031136 is a wasteful number, since it uses less digits than its factorization.

3385031136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18084 (or 18076 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 3385031136 is about 58181.0204104397. The cubic root of 3385031136 is about 1501.4846243312.

Adding to 3385031136 its reverse (6311305833), we get a palindrome (9696336969).

The spelling of 3385031136 in words is "three billion, three hundred eighty-five million, thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 74 96 106 111 148 159 212 222 296 318 424 444 592 636 848 888 1184 1272 1696 1776 1961 2544 3552 3922 5088 5883 7844 11766 15688 17981 23532 31376 35962 47064 53943 62752 71924 94128 107886 143848 188256 215772 287696 431544 575392 665297 863088 952993 1330594 1726176 1905986 1995891 2661188 2858979 3811972 3991782 5322376 5717958 7623944 7983564 10644752 11435916 15247888 15967128 21289504 22871832 30495776 31934256 35260741 45743664 63868512 70521482 91487328 105782223 141042964 211564446 282085928 423128892 564171856 846257784 1128343712 1692515568 3385031136