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3416385642 = 23619334387
BaseRepresentation
bin1100101110100001…
…1110100001101010
322211002112101001120
43023220132201222
523444043320032
61323001000110
7150442540665
oct31350364152
98732471046
103416385642
1114a350810a
127b4183036
13425a42087
14245a346dc
1514ede262c
hexcba1e86a

3416385642 has 16 divisors (see below), whose sum is σ = 6944784672. Its totient is φ = 1120126320.

The previous prime is 3416385631. The next prime is 3416385673. The reversal of 3416385642 is 2465836143.

3416385642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3416385594 and 3416385603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4666828 + ... + 4667559.

It is an arithmetic number, because the mean of its divisors is an integer number (434049042).

Almost surely, 23416385642 is an apocalyptic number.

3416385642 is an abundant number, since it is smaller than the sum of its proper divisors (3528399030).

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

3416385642 is a wasteful number, since it uses less digits than its factorization.

3416385642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9334453.

The product of its digits is 414720, while the sum is 42.

The square root of 3416385642 is about 58449.8557910967. The cubic root of 3416385642 is about 1506.1063144402.

It can be divided in two parts, 34163 and 85642, that added together give a triangular number (119805 = T489).

The spelling of 3416385642 in words is "three billion, four hundred sixteen million, three hundred eighty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 61 122 183 366 9334387 18668774 28003161 56006322 569397607 1138795214 1708192821 3416385642