Search a number
-
+
341324240020 = 22529237548453
BaseRepresentation
bin1001111011110001000…
…00101001010010010100
31012122000110202221001021
410331320200221102110
521043013001140040
6420445135010524
733442222112251
oct4757040512224
91178013687037
10341324240020
111218336a9485
1256198969a44
132625735543a
141273d540428
158d2a57324a
hex4f78829494

341324240020 has 72 divisors (see below), whose sum is σ = 762414680664. Its totient is φ = 128258790912.

The previous prime is 341324239999. The next prime is 341324240099. The reversal of 341324240020 is 20042423143.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 76846492944 + 264477747076 = 277212^2 + 514274^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 348114 + ... + 896566.

It is an arithmetic number, because the mean of its divisors is an integer number (10589092787).

Almost surely, 2341324240020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341324240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381207340332).

341324240020 is an abundant number, since it is smaller than the sum of its proper divisors (421090440644).

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

341324240020 is a wasteful number, since it uses less digits than its factorization.

341324240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548557 (or 548526 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 341324240020 its reverse (20042423143), we get a palindrome (361366663163).

The spelling of 341324240020 in words is "three hundred forty-one billion, three hundred twenty-four million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 841 1073 1682 2146 3364 4205 4292 5365 8410 10730 16820 21460 31117 62234 124468 155585 311170 548453 622340 1096906 2193812 2742265 5484530 10969060 15905137 20292761 31810274 40585522 63620548 79525685 81171044 101463805 159051370 202927610 318102740 405855220 461248973 588490069 922497946 1176980138 1844995892 2306244865 2353960276 2942450345 4612489730 5884900690 9224979460 11769801380 17066212001 34132424002 68264848004 85331060005 170662120010 341324240020