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10340326431 = 34127658351
BaseRepresentation
bin10011010000101010…
…01101110000011111
3222200122011000020000
421220111031300133
5132134110421211
64430021025343
7514146216201
oct115025156037
928618130200
1010340326431
114426932326
122006b55253
13c8a367566
14701432771
15407bd5656
hex26854dc1f

10340326431 has 10 divisors (see below), whose sum is σ = 15446660592. Its totient is φ = 6893550900.

The previous prime is 10340326393. The next prime is 10340326439. The reversal of 10340326431 is 13462304301.

10340326431 is a `hidden beast` number, since 10 + 3 + 4 + 0 + 3 + 2 + 643 + 1 = 666.

10340326431 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 10340326431 - 214 = 10340310047 is a prime.

It is a super-2 number, since 2×103403264312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10340326395 and 10340326404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340326439) 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 9 ways as a sum of consecutive naturals, for example, 63829095 + ... + 63829256.

Almost surely, 210340326431 is an apocalyptic number.

10340326431 is a deficient number, since it is larger than the sum of its proper divisors (5106334161).

10340326431 is an equidigital number, since it uses as much as digits as its factorization.

10340326431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127658363 (or 127658354 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 10340326431 in words is "ten billion, three hundred forty million, three hundred twenty-six thousand, four hundred thirty-one".

Divisors: 1 3 9 27 81 127658351 382975053 1148925159 3446775477 10340326431