Search a number
-
+
343430014424040 = 23325953972262289
BaseRepresentation
bin100111000010110010000100…
…0000000111101001111101000
31200000222120220012010222001100
41032011210020000331033220
5330003224132143032130
63214225323125321400
7132223666624224315
oct11605441000751750
91600876805128040
10343430014424040
119a47793aa38695
1232627054b66260
13119824081b301b
1460b415c2cbd0c
1529a86096e0c60
hex138590803d3e8

343430014424040 has 48 divisors (see below), whose sum is σ = 1116147546879300. Its totient is φ = 91581337179648.

The previous prime is 343430014424017. The next prime is 343430014424117. The reversal of 343430014424040 is 40424410034343.

343430014424040 is a `hidden beast` number, since 3 + 4 + 3 + 430 + 0 + 144 + 2 + 40 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 319301661332196 + 24128353091844 = 17869014^2 + 4912062^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 343430014423986 and 343430014424004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476986130785 + ... + 476986131504.

Almost surely, 2343430014424040 is an apocalyptic number.

343430014424040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343430014424040 is an abundant number, since it is smaller than the sum of its proper divisors (772717532455260).

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

343430014424040 is a wasteful number, since it uses less digits than its factorization.

343430014424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953972262306 (or 953972262299 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 343430014424040 its reverse (40424410034343), we get a palindrome (383854424458383).

The spelling of 343430014424040 in words is "three hundred forty-three trillion, four hundred thirty billion, fourteen million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 953972262289 1907944524578 2861916786867 3815889049156 4769861311445 5723833573734 7631778098312 8585750360601 9539722622890 11447667147468 14309583934335 17171500721202 19079445245780 22895334294936 28619167868670 34343001442404 38158890491560 42928751803005 57238335737340 68686002884808 85857503606010 114476671474680 171715007212020 343430014424040