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340214411313 = 32783313207869
BaseRepresentation
bin1001111001101100101…
…10111111000000110001
31012112011010102210021100
410330312112333000301
521033224342130223
6420143051315013
733402554532120
oct4746626770061
91175133383240
10340214411313
11121314190777
1255b2914ba69
132610b442b6a
1412675da3ab7
158cb2dea043
hex4f365bf031

340214411313 has 48 divisors (see below), whose sum is σ = 570209028480. Its totient is φ = 191451416832.

The previous prime is 340214411309. The next prime is 340214411323. The reversal of 340214411313 is 313114412043.

340214411313 is a `hidden beast` number, since 3 + 4 + 0 + 214 + 411 + 31 + 3 = 666.

It is not a de Polignac number, because 340214411313 - 22 = 340214411309 is a prime.

It is a super-2 number, since 2×3402144113132 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (340214411323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1532743 + ... + 1740611.

It is an arithmetic number, because the mean of its divisors is an integer number (11879354760).

Almost surely, 2340214411313 is an apocalyptic number.

It is an amenable number.

340214411313 is a deficient number, since it is larger than the sum of its proper divisors (229994617167).

340214411313 is a wasteful number, since it uses less digits than its factorization.

340214411313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208278 (or 208275 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 340214411313 its reverse (313114412043), we get a palindrome (653328823356).

The spelling of 340214411313 in words is "three hundred forty billion, two hundred fourteen million, four hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 63 83 249 313 581 747 939 1743 2191 2817 5229 6573 19719 25979 77937 181853 207869 233811 545559 623607 1455083 1636677 1870821 4365249 13095747 17253127 51759381 65062997 120771889 155278143 195188991 362315667 455440979 585566973 1086947001 1366322937 4098968811 5400228751 16200686253 37801601257 48602058759 113404803771 340214411313