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12340205334 = 235129719577
BaseRepresentation
bin10110111111000100…
…01001011100010110
31011212000021101100000
423133202021130112
5200233043032314
65400301232130
7614542005012
oct133742113426
934760241300
1012340205334
1152627a6a06
122484862646
13121879b762
14850c99542
154c3572209
hex2df889716

12340205334 has 48 divisors (see below), whose sum is σ = 27750170448. Its totient is φ = 4110020352.

The previous prime is 12340205333. The next prime is 12340205399. The reversal of 12340205334 is 43350204321.

12340205334 is a `hidden beast` number, since 123 + 4 + 0 + 2 + 0 + 533 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12340205298 and 12340205307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12340205333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620554 + ... + 640130.

It is an arithmetic number, because the mean of its divisors is an integer number (578128551).

Almost surely, 212340205334 is an apocalyptic number.

12340205334 is an abundant number, since it is smaller than the sum of its proper divisors (15409965114).

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

12340205334 is a wasteful number, since it uses less digits than its factorization.

12340205334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20891 (or 20879 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 12340205334 its reverse (43350204321), we get a palindrome (55690409655).

The spelling of 12340205334 in words is "twelve billion, three hundred forty million, two hundred five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1297 2594 3891 7782 11673 19577 23346 35019 39154 58731 70038 105057 117462 176193 210114 315171 352386 528579 630342 1057158 1585737 3171474 4757211 9514422 25391369 50782738 76174107 152348214 228522321 457044642 685566963 1371133926 2056700889 4113401778 6170102667 12340205334