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340375040217 = 3331834899527
BaseRepresentation
bin1001111001111111110…
…11101111000011011001
31012112120022200120201000
410330333323233003121
521034042002241332
6420211030215213
733406545051012
oct4747773570331
91175508616630
10340375040217
11121396922633
1255b72ab4509
13261357c3954
141268d458009
158cc2078b7c
hex4f3feef0d9

340375040217 has 32 divisors (see below), whose sum is σ = 526797250560. Its totient is φ = 216951011280.

The previous prime is 340375040177. The next prime is 340375040231. The reversal of 340375040217 is 712040573043.

340375040217 is a `hidden beast` number, since 34 + 0 + 375 + 0 + 40 + 217 = 666.

It is not a de Polignac number, because 340375040217 - 26 = 340375040153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (340375040917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2380293 + ... + 2519234.

It is an arithmetic number, because the mean of its divisors is an integer number (16462414080).

Almost surely, 2340375040217 is an apocalyptic number.

It is an amenable number.

340375040217 is a deficient number, since it is larger than the sum of its proper divisors (186422210343).

340375040217 is a wasteful number, since it uses less digits than its factorization.

340375040217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899650 (or 4899644 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 340375040217 in words is "three hundred forty billion, three hundred seventy-five million, forty thousand, two hundred seventeen".

Divisors: 1 3 9 27 31 83 93 249 279 747 837 2241 2573 7719 23157 69471 4899527 14698581 44095743 132287229 151885337 406660741 455656011 1219982223 1366968033 3659946669 4100904099 10979840007 12606482971 37819448913 113458346739 340375040217