Search a number
-
+
10340593317 = 3228312133347
BaseRepresentation
bin10011010000101100…
…01110111010100101
3222200122122120022200
421220112032322211
5132134142441232
64430030445113
7514151410245
oct115026167245
928618576280
1010340593317
114426aa489a
122007063799
13c8a42bb92
147014a1b25
15407c3977c
hex26858eea5

10340593317 has 24 divisors (see below), whose sum is σ = 15006030624. Its totient is φ = 6861655584.

The previous prime is 10340593283. The next prime is 10340593327. The reversal of 10340593317 is 71339504301.

10340593317 is a `hidden beast` number, since 1 + 0 + 34 + 0 + 593 + 31 + 7 = 666.

10340593317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10340593317 - 211 = 10340591269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340593327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3087838 + ... + 3091184.

It is an arithmetic number, because the mean of its divisors is an integer number (625251276).

Almost surely, 210340593317 is an apocalyptic number.

It is an amenable number.

10340593317 is a deficient number, since it is larger than the sum of its proper divisors (4665437307).

10340593317 is a wasteful number, since it uses less digits than its factorization.

10340593317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 10340593317 in words is "ten billion, three hundred forty million, five hundred ninety-three thousand, three hundred seventeen".

Divisors: 1 3 9 283 849 1213 2547 3347 3639 10041 10917 30123 343279 947201 1029837 2841603 3089511 4059911 8524809 12179733 36539199 1148954813 3446864439 10340593317