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342596411808 = 25371867273067
BaseRepresentation
bin1001111110001000101…
…01100110000110100000
31012202022010120221122220
410333010111212012200
521103114140134213
6421215302031040
733515600311020
oct4770425460640
91182263527586
10342596411808
11122326819a22
1256492a18480
13263caa98b01
1412820499a80
158da20b7e23
hex4fc45661a0

342596411808 has 96 divisors (see below), whose sum is σ = 1028343504384. Its totient is φ = 97831901952.

The previous prime is 342596411803. The next prime is 342596411851. The reversal of 342596411808 is 808114695243.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (342596411803) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1118091 + ... + 1391157.

It is an arithmetic number, because the mean of its divisors is an integer number (10711911504).

Almost surely, 2342596411808 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 342596411808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514171752192).

342596411808 is an abundant number, since it is smaller than the sum of its proper divisors (685747092576).

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

342596411808 is a wasteful number, since it uses less digits than its factorization.

342596411808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274954 (or 274946 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 342596411808 in words is "three hundred forty-two billion, five hundred ninety-six million, four hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1867 3734 5601 7468 11202 13069 14936 22404 26138 29872 39207 44808 52276 59744 78414 89616 104552 156828 179232 209104 273067 313656 418208 546134 627312 819201 1092268 1254624 1638402 1911469 2184536 3276804 3822938 4369072 5734407 6553608 7645876 8738144 11468814 13107216 15291752 22937628 26214432 30583504 45875256 61167008 91750512 183501024 509816089 1019632178 1529448267 2039264356 3058896534 3568712623 4078528712 6117793068 7137425246 8157057424 10706137869 12235586136 14274850492 16314114848 21412275738 24471172272 28549700984 42824551476 48942344544 57099401968 85649102952 114198803936 171298205904 342596411808