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10342348353 = 34862914797
BaseRepresentation
bin10011010000111001…
…11011011001000001
3222200202221201210000
421220130323121001
5132140120121403
64430132230213
7514202340051
oct115034733101
928622851700
1010342348353
114427a93437
12200776b369
13c8a8c496c
147017db561
15407e847a3
hex26873b641

10342348353 has 20 divisors (see below), whose sum is σ = 15452515540. Its totient is φ = 6893633952.

The previous prime is 10342348339. The next prime is 10342348399. The reversal of 10342348353 is 35384324301.

10342348353 is a `hidden beast` number, since 103 + 4 + 23 + 483 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5946260544 + 4396087809 = 77112^2 + 66303^2 .

It is not a de Polignac number, because 10342348353 - 210 = 10342347329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10342348253) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 691551 + ... + 706347.

It is an arithmetic number, because the mean of its divisors is an integer number (772625777).

Almost surely, 210342348353 is an apocalyptic number.

It is an amenable number.

10342348353 is a deficient number, since it is larger than the sum of its proper divisors (5110167187).

10342348353 is an equidigital number, since it uses as much as digits as its factorization.

10342348353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23438 (or 23429 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 10342348353 in words is "ten billion, three hundred forty-two million, three hundred forty-eight thousand, three hundred fifty-three".

Divisors: 1 3 9 27 81 8629 14797 25887 44391 77661 133173 232983 399519 698949 1198557 127683313 383049939 1149149817 3447449451 10342348353