Search a number
-
+
341104000540 = 225163739314153
BaseRepresentation
bin1001111011010110110…
…00011111111000011100
31012121110010100121021111
410331223120133320130
521042040111004130
6420411230311404
733433606110532
oct4755330377034
91177403317244
10341104000540
11121730352286
1256137058564
1326220832a14
141271c1b0152
158d1606c02a
hex4f6b61fe1c

341104000540 has 48 divisors (see below), whose sum is σ = 720861408288. Its totient is φ = 135576612864.

The previous prime is 341104000511. The next prime is 341104000543. The reversal of 341104000540 is 45000401143.

It is a super-3 number, since 3×3411040005403 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341104000543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24094104 + ... + 24108256.

It is an arithmetic number, because the mean of its divisors is an integer number (15017946006).

Almost surely, 2341104000540 is an apocalyptic number.

It is an amenable number.

341104000540 is an abundant number, since it is smaller than the sum of its proper divisors (379757407748).

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

341104000540 is a wasteful number, since it uses less digits than its factorization.

341104000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21718 (or 21716 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 341104000540 its reverse (45000401143), we get a palindrome (386104401683).

The spelling of 341104000540 in words is "three hundred forty-one billion, one hundred four million, five hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 163 326 652 815 1630 3260 7393 14153 14786 28306 29572 36965 56612 70765 73930 141530 147860 283060 1205059 2306939 2410118 4613878 4820236 6025295 9227756 11534695 12050590 23069390 24101180 46138780 104633129 209266258 418532516 523165645 1046331290 2092662580 17055200027 34110400054 68220800108 85276000135 170552000270 341104000540