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3411431004 = 2231771317743
BaseRepresentation
bin1100101101010110…
…0100111001011100
322210202012122120110
43023111210321130
523441311243004
61322302450020
7150352453662
oct31325447134
98722178513
103411431004
1114a0733673
127b2593910
134249c8b37
14245104c32
1514e764589
hexcb564e5c

3411431004 has 96 divisors (see below), whose sum is σ = 8585450496. Its totient is φ = 1050434560.

The previous prime is 3411431003. The next prime is 3411431011. The reversal of 3411431004 is 4001341143.

It is a super-2 number, since 2×34114310042 = 23275722990104896032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411431003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4591057 + ... + 4591799.

It is an arithmetic number, because the mean of its divisors is an integer number (89431776).

Almost surely, 23411431004 is an apocalyptic number.

3411431004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3411431004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292725248).

3411431004 is an abundant number, since it is smaller than the sum of its proper divisors (5174019492).

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

3411431004 is a wasteful number, since it uses less digits than its factorization.

3411431004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3411431004 is about 58407.4567499733. The cubic root of 3411431004 is about 1505.3778816612.

Adding to 3411431004 its reverse (4001341143), we get a palindrome (7412772147).

The spelling of 3411431004 in words is "three billion, four hundred eleven million, four hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 317 426 634 743 852 951 1207 1268 1486 1902 2229 2414 2972 3621 3804 4458 4828 5389 7242 8916 10778 12631 14484 16167 21556 22507 25262 32334 37893 45014 50524 52753 64668 67521 75786 90028 105506 135042 151572 158259 211012 235531 270084 316518 382619 471062 633036 706593 765238 896801 942124 1147857 1413186 1530476 1793602 2295714 2690403 2826372 3587204 4004027 4591428 5380806 8008054 10761612 12012081 16016108 16722701 24024162 33445402 48048324 50168103 66890804 100336206 200672412 284285917 568571834 852857751 1137143668 1705715502 3411431004