Search a number
-
+
342504405243 = 327111338018027
BaseRepresentation
bin1001111101111101101…
…10100111100011111011
31012202001201110112101100
410332332312213203323
521102422111431433
6421202214022443
733513402260220
oct4767666474373
91182051415340
10342504405243
11122289898040
1256468047a23
13263b49c3760
1412812189947
158d98e91b13
hex4fbeda78fb

342504405243 has 48 divisors (see below), whose sum is σ = 664250985216. Its totient is φ = 164237872320.

The previous prime is 342504405241. The next prime is 342504405251.

342504405243 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 0 + 4 + 405 + 243 = 666.

342504405243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342504405243 - 21 = 342504405241 is a prime.

It is a super-2 number, since 2×3425044052432 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342504405198 and 342504405207.

It is not an unprimeable number, because it can be changed into a prime (342504405241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19000005 + ... + 19018022.

It is an arithmetic number, because the mean of its divisors is an integer number (13838562192).

Almost surely, 2342504405243 is an apocalyptic number.

342504405243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

342504405243 is a deficient number, since it is larger than the sum of its proper divisors (321746579973).

342504405243 is a wasteful number, since it uses less digits than its factorization.

342504405243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38018064 (or 38018061 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 342504 and 405243, that added together give a palindrome (747747).

The spelling of 342504405243 in words is "three hundred forty-two billion, five hundred four million, four hundred five thousand, two hundred forty-three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 38018027 114054081 266126189 342162243 418198297 494234351 798378567 1254594891 1482703053 2395135701 2927388079 3459640457 3763784673 4448109159 5436577861 8782164237 10378921371 16309733583 26346492711 31136764113 38056045027 48929200749 114168135081 342504405243