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340340400407 = 71915765924733
BaseRepresentation
bin1001111001111011101…
…11100110000100010111
31012112110220111200211002
410330331313212010113
521034004120303112
6420203351533515
733405644446220
oct4747567460427
91175426450732
10340340400407
11121379313197
1255b6338a29b
132612b585b17
14126889dc247
158cbded51c2
hex4f3dde6117

340340400407 has 32 divisors (see below), whose sum is σ = 412681843200. Its totient is φ = 274178556288.

The previous prime is 340340400397. The next prime is 340340400409. The reversal of 340340400407 is 704004043043.

It is not a de Polignac number, because 340340400407 - 26 = 340340400343 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 340340400407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340340400409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13748213 + ... + 13772945.

It is an arithmetic number, because the mean of its divisors is an integer number (12896307600).

Almost surely, 2340340400407 is an apocalyptic number.

340340400407 is a deficient number, since it is larger than the sum of its proper divisors (72341442793).

340340400407 is a wasteful number, since it uses less digits than its factorization.

340340400407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25575.

The product of its (nonzero) digits is 16128, while the sum is 29.

The spelling of 340340400407 in words is "three hundred forty billion, three hundred forty million, four hundred thousand, four hundred seven".

Divisors: 1 7 19 133 157 659 1099 2983 4613 12521 20881 24733 87647 103463 173131 469927 724241 1965797 3289489 3883081 13760579 16299047 27181567 73778539 114093329 309681893 516449773 2167773251 2558950379 17912652653 48620057201 340340400407