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243312342420 = 22357579315101
BaseRepresentation
bin1110001010011010001…
…0111011010110010100
3212021000212002122120210
43202212202323112110
512441300424424140
6303435351525420
723402335533540
oct3424642732624
9767025078523
10243312342420
1194208524114
123b1a4989870
1319c376b5864
14bac255ca20
1564e0b4ad80
hex38a68bb594

243312342420 has 48 divisors (see below), whose sum is σ = 778599497088. Its totient is φ = 55614249600.

The previous prime is 243312342407. The next prime is 243312342439. The reversal of 243312342420 is 24243213342.

243312342420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 289657131 + ... + 289657970.

It is an arithmetic number, because the mean of its divisors is an integer number (16220822856).

Almost surely, 2243312342420 is an apocalyptic number.

243312342420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243312342420 is an abundant number, since it is smaller than the sum of its proper divisors (535287154668).

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

243312342420 is a wasteful number, since it uses less digits than its factorization.

243312342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579315120 (or 579315118 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 243312342420 its reverse (24243213342), we get a palindrome (267555555762).

The spelling of 243312342420 in words is "two hundred forty-three billion, three hundred twelve million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 579315101 1158630202 1737945303 2317260404 2896575505 3475890606 4055205707 5793151010 6951781212 8110411414 8689726515 11586302020 12165617121 16220822828 17379453030 20276028535 24331234242 34758906060 40552057070 48662468484 60828085605 81104114140 121656171210 243312342420