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334322011314 = 2321271391052141
BaseRepresentation
bin1001101110101110010…
…01010000110010110010
31011221221110211212001100
410313113021100302302
520434142413330224
6413330240545230
733103545131304
oct4672711206262
91157843755040
10334322011314
11119870072405
1254963922216
13256ac74bc45
14122775a3974
158a6a968ac9
hex4dd7250cb2

334322011314 has 48 divisors (see below), whose sum is σ = 735321000960. Its totient is φ = 109767661920.

The previous prime is 334322011273. The next prime is 334322011349. The reversal of 334322011314 is 413110223433.

It is a happy number.

334322011314 is a `hidden beast` number, since 3 + 3 + 432 + 201 + 13 + 14 = 666.

It is a super-2 number, since 2×3343220113142 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208317 + ... + 843824.

It is an arithmetic number, because the mean of its divisors is an integer number (15319187520).

Almost surely, 2334322011314 is an apocalyptic number.

334322011314 is an abundant number, since it is smaller than the sum of its proper divisors (400998989646).

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

334322011314 is a wasteful number, since it uses less digits than its factorization.

334322011314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052415 (or 1052412 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 334322011314 its reverse (413110223433), we get a palindrome (747432234747).

The spelling of 334322011314 in words is "three hundred thirty-four billion, three hundred twenty-two million, eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 127 139 254 278 381 417 762 834 1143 1251 2286 2502 17653 35306 52959 105918 158877 317754 1052141 2104282 3156423 6312846 9469269 18938538 133621907 146247599 267243814 292495198 400865721 438742797 801731442 877485594 1202597163 1316228391 2405194326 2632456782 18573445073 37146890146 55720335219 111440670438 167161005657 334322011314