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340004006667 = 3213173151111117
BaseRepresentation
bin1001111001010011101…
…00010110101100001011
31012111121110112010100200
410330221310112230023
521032312011203132
6420110133503243
733364421241363
oct4745164265413
91174543463320
10340004006667
11121216441636
1255a8a7a1b23
13260a6984a80
14126560739a3
158c9e6d7d7c
hex4f29d16b0b

340004006667 has 48 divisors (see below), whose sum is σ = 532352253888. Its totient is φ = 207867421440.

The previous prime is 340004006653. The next prime is 340004006707. The reversal of 340004006667 is 766600400043.

340004006667 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 340004006667 - 28 = 340004006411 is a prime.

It is a super-2 number, since 2×3400040066672 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340004006627) 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, 30578593 + ... + 30589709.

It is an arithmetic number, because the mean of its divisors is an integer number (11090671956).

Almost surely, 2340004006667 is an apocalyptic number.

340004006667 is a deficient number, since it is larger than the sum of its proper divisors (192348247221).

340004006667 is a wasteful number, since it uses less digits than its factorization.

340004006667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12820 (or 12817 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 340004006667 in words is "three hundred forty billion, four million, six thousand, six hundred sixty-seven".

Divisors: 1 3 9 13 39 117 173 519 1511 1557 2249 4533 6747 11117 13599 19643 20241 33351 58929 100053 144521 176787 261403 433563 784209 1300689 1923241 2352627 3398239 5769723 10194717 16797787 17309169 25002133 30584151 50393361 75006399 151180083 218371231 225019197 655113693 1965341079 2906017151 8718051453 26154154359 37778222963 113334668889 340004006667