Search a number
-
+
3411310014 = 2327891072843
BaseRepresentation
bin1100101101010100…
…0111010110111110
322210201222111121100
43023111013112332
523441243410024
61322300113530
7150351441150
oct31325072676
98721874540
103411310014
1114a0660782
127b25358a6
13424985a48
142450b2ad0
1514e73d7c9
hexcb5475be

3411310014 has 96 divisors (see below), whose sum is σ = 8624828160. Its totient is φ = 954366336.

The previous prime is 3411310009. The next prime is 3411310031. The reversal of 3411310014 is 4100131143.

3411310014 is a `hidden beast` number, since 341 + 1 + 310 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1198477 + ... + 1201319.

It is an arithmetic number, because the mean of its divisors is an integer number (89841960).

Almost surely, 23411310014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3411310014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312414080).

3411310014 is an abundant number, since it is smaller than the sum of its proper divisors (5213518146).

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

3411310014 is a wasteful number, since it uses less digits than its factorization.

3411310014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3411310014 is about 58406.4209997497. The cubic root of 3411310014 is about 1505.3600848458.

Adding to 3411310014 its reverse (4100131143), we get a palindrome (7511441157).

The spelling of 3411310014 in words is "three billion, four hundred eleven million, three hundred ten thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 107 126 178 214 267 321 534 623 642 749 801 963 1246 1498 1602 1869 1926 2247 2843 3738 4494 5607 5686 6741 8529 9523 11214 13482 17058 19046 19901 25587 28569 39802 51174 57138 59703 66661 85707 119406 133322 171414 179109 199983 253027 304201 358218 399966 506054 599949 608402 759081 912603 1199898 1518162 1771189 1825206 2129407 2277243 2737809 3542378 4258814 4554486 5313567 5475618 6388221 10627134 12776442 15940701 19164663 27073889 31881402 38329326 54147778 81221667 162443334 189517223 243665001 379034446 487330002 568551669 1137103338 1705655007 3411310014