Search a number
-
+
3361831641 = 33722987623
BaseRepresentation
bin1100100001100001…
…0111101011011001
322200021212202001000
43020120113223121
523341112103031
61313331415213
7146211045300
oct31030275331
98607782030
103361831641
111475736963
12799a54509
13417650bbc
1423c6b3437
1514a2183e6
hexc8617ad9

3361831641 has 48 divisors (see below), whose sum is σ = 5993481600. Its totient is φ = 1854782496.

The previous prime is 3361831589. The next prime is 3361831657. The reversal of 3361831641 is 1461381633.

3361831641 is a `hidden beast` number, since 3 + 3 + 6 + 1 + 8 + 3 + 1 + 641 = 666.

3361831641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3361831641 - 27 = 3361831513 is a prime.

It is a super-2 number, since 2×33618316412 = 22603823964857505762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3361831596 and 3361831605.

It is not an unprimeable number, because it can be changed into a prime (3361831441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5445 + ... + 82178.

It is an arithmetic number, because the mean of its divisors is an integer number (124864200).

Almost surely, 23361831641 is an apocalyptic number.

It is an amenable number.

3361831641 is a deficient number, since it is larger than the sum of its proper divisors (2631649959).

3361831641 is a wasteful number, since it uses less digits than its factorization.

3361831641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87675 (or 87662 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 3361831641 is about 57981.3042367969. The cubic root of 3361831641 is about 1498.0465892285.

The spelling of 3361831641 in words is "three billion, three hundred sixty-one million, eight hundred thirty-one thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 29 49 63 87 147 189 203 261 441 609 783 1323 1421 1827 4263 5481 12789 38367 87623 262869 613361 788607 1840083 2365821 2541067 4293527 5520249 7623201 12880581 16560747 17787469 22869603 38641743 53362407 68608809 115925229 124512283 160087221 373536849 480261663 1120610547 3361831641