Search a number
-
+
3381034761 = 32131973832
BaseRepresentation
bin1100100110000110…
…0111111100001001
322201122000100202200
43021201213330021
523411021103021
61315255150413
7146533215126
oct31141477411
98648010680
103381034761
111485562505
127a4375409
1341b6156b0
1424107174d
1514bc5d126
hexc9867f09

3381034761 has 36 divisors (see below), whose sum is σ = 5299922628. Its totient is φ = 2064670272.

The previous prime is 3381034759. The next prime is 3381034763. The reversal of 3381034761 is 1674301833.

3381034761 is digitally balanced in base 2 and base 4, because in such bases 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 (3381034759) and next prime (3381034763).

It can be written as a sum of positive squares in 2 ways, for example, as 2112321600 + 1268713161 = 45960^2 + 35619^2 .

It is not a de Polignac number, because 3381034761 - 21 = 3381034759 is a prime.

It is a super-2 number, since 2×33810347612 = 22862792110180654242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3381034763) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8827576 + ... + 8827958.

It is an arithmetic number, because the mean of its divisors is an integer number (147220073).

Almost surely, 23381034761 is an apocalyptic number.

It is an amenable number.

3381034761 is a deficient number, since it is larger than the sum of its proper divisors (1918887867).

3381034761 is a wasteful number, since it uses less digits than its factorization.

3381034761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3381034761 is about 58146.6659491325. The cubic root of 3381034761 is about 1500.8935063253.

The spelling of 3381034761 in words is "three billion, three hundred eighty-one million, thirty-four thousand, seven hundred sixty-one".

Divisors: 1 3 9 13 39 117 197 383 591 1149 1773 2561 3447 4979 7683 14937 23049 44811 75451 146689 226353 440067 679059 980863 1320201 1906957 2942589 5720871 8827767 17162613 28897733 86693199 260079597 375670529 1127011587 3381034761