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342378873243 = 33111960673201
BaseRepresentation
bin1001111101101110101…
…11110000000110011011
31012201201222020211212000
410332313113300012123
521102142442420433
6421141531252043
733510316255551
oct4766727600633
91181658224760
10342378873243
11122224a47a90
1256431baa023
13263949b0874
14127dd62dbd1
158d8ce47113
hex4fb75f019b

342378873243 has 32 divisors (see below), whose sum is σ = 582462739200. Its totient is φ = 196581168000.

The previous prime is 342378873233. The next prime is 342378873251.

It is a happy number.

342378873243 is a `hidden beast` number, since 3 + 4 + 237 + 8 + 87 + 324 + 3 = 666.

342378873243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342378873243 - 213 = 342378865051 is a prime.

It is a super-2 number, since 2×3423788732432 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 342378873243.

It is not an unprimeable number, because it can be changed into a prime (342378873233) 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 31 ways as a sum of consecutive naturals, for example, 30330958 + ... + 30342243.

It is an arithmetic number, because the mean of its divisors is an integer number (18201960600).

Almost surely, 2342378873243 is an apocalyptic number.

342378873243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

342378873243 is a deficient number, since it is larger than the sum of its proper divisors (240083865957).

342378873243 is a wasteful number, since it uses less digits than its factorization.

342378873243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60673240 (or 60673234 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 342378873243 in words is "three hundred forty-two billion, three hundred seventy-eight million, eight hundred seventy-three thousand, two hundred forty-three".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 513 627 1881 5643 60673201 182019603 546058809 667405211 1152790819 1638176427 2002215633 3458372457 6006646899 10375117371 12680699009 18019940697 31125352113 38042097027 114126291081 342378873243