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3711368241 = 34729672
BaseRepresentation
bin1101110100110110…
…1111110000110001
3100120122121001010000
43131031233300301
530100102240431
61412135300213
7160654052400
oct33515576061
910518531100
103711368241
111634a74989
12876b1a669
13471ba41a9
14272c9d637
1516ac5e9e6
hexdd36fc31

3711368241 has 45 divisors (see below), whose sum is σ = 6455985129. Its totient is φ = 2118588696.

The previous prime is 3711368239. The next prime is 3711368291. The reversal of 3711368241 is 1428631173.

It is a happy number.

The square root of 3711368241 is 60921.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 3711368241 - 21 = 3711368239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3711368196 and 3711368205.

It is not an unprimeable number, because it can be changed into a prime (3711368231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3837540 + ... + 3838506.

Almost surely, 23711368241 is an apocalyptic number.

3711368241 is the 60921-st square number.

3711368241 is the 30461-st centered octagonal number.

It is an amenable number.

3711368241 is a deficient number, since it is larger than the sum of its proper divisors (2744616888).

3711368241 is an frugal number, since it uses more digits than its factorization.

3711368241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 977 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The cubic root of 3711368241 is about 1548.2628114270.

Multiplying 3711368241 by its sum of digits (36), we get a square (133609256676 = 3655262).

The spelling of 3711368241 in words is "three billion, seven hundred eleven million, three hundred sixty-eight thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 967 1323 2901 3969 6769 8703 20307 26109 47383 60921 78327 142149 182763 426447 548289 935089 1279341 2805267 3838023 6545623 8415801 19636869 25247403 45819361 58910607 75742209 137458083 176731821 412374249 530195463 1237122747 3711368241