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342314302104 = 233219221162417
BaseRepresentation
bin1001111101100111000…
…01011011101010011000
31012201120110202021220100
410332303201123222120
521102024430131404
6421131303255400
733505603362525
oct4766341335230
91181513667810
10342314302104
111221a1554805
125641444a560
13263844c30a8
14127d4c2214c
158d8743ed39
hex4fb385ba98

342314302104 has 144 divisors (see below), whose sum is σ = 983117205720. Its totient is φ = 107585210880.

The previous prime is 342314302103. The next prime is 342314302151. The reversal of 342314302104 is 401203413243.

342314302104 is a `hidden beast` number, since 3 + 42 + 314 + 302 + 1 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342314302103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5453104 + ... + 5515520.

Almost surely, 2342314302104 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 342314302104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491558602860).

342314302104 is an abundant number, since it is smaller than the sum of its proper divisors (640802903616).

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

342314302104 is a wasteful number, since it uses less digits than its factorization.

342314302104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62678 (or 62652 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 342314302104 its reverse (401203413243), we get a palindrome (743517715347).

The spelling of 342314302104 in words is "three hundred forty-two billion, three hundred fourteen million, three hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 211 228 342 361 422 456 633 684 722 844 1083 1266 1368 1444 1688 1899 2166 2532 2888 3249 3798 4009 4332 5064 6498 7596 8018 8664 12027 12996 15192 16036 24054 25992 32072 36081 48108 62417 72162 76171 96216 124834 144324 152342 187251 228513 249668 288648 304684 374502 457026 499336 561753 609368 685539 749004 914052 1123506 1185923 1371078 1498008 1828104 2247012 2371846 2742156 3557769 4494024 4743692 5484312 7115538 9487384 10673307 13169987 14231076 21346614 22532537 26339974 28462152 39509961 42693228 45065074 52679948 67597611 79019922 85386456 90130148 105359896 118529883 135195222 158039844 180260296 202792833 237059766 250229753 270390444 316079688 405585666 474119532 500459506 540780888 750689259 811171332 948239064 1000919012 1501378518 1622342664 2001838024 2252067777 3002757036 4504135554 4754365307 6005514072 9008271108 9508730614 14263095921 18016542216 19017461228 28526191842 38034922456 42789287763 57052383684 85578575526 114104767368 171157151052 342314302104