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34845782346 = 23210119167097
BaseRepresentation
bin100000011100111110…
…000111000101001010
310022221110111011002100
4200130332013011022
51032331010013341
624001414014230
72342340156114
oct403476070512
9108843434070
1034845782346
1113861599031
126905947376
1333942a912b
141987c443b4
15d8e26b3b6
hex81cf8714a

34845782346 has 24 divisors (see below), whose sum is σ = 76246715844. Its totient is φ = 11500257600.

The previous prime is 34845782297. The next prime is 34845782381. The reversal of 34845782346 is 64328754843.

34845782346 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 578 + 23 + 46 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34713279225 + 132503121 = 186315^2 + 11511^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34845782292 and 34845782301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9581731 + ... + 9585366.

Almost surely, 234845782346 is an apocalyptic number.

34845782346 is an abundant number, since it is smaller than the sum of its proper divisors (41400933498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34845782346 is a wasteful number, since it uses less digits than its factorization.

34845782346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19167206 (or 19167203 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 34845782346 in words is "thirty-four billion, eight hundred forty-five million, seven hundred eighty-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 19167097 38334194 57501291 115002582 172503873 345007746 1935876797 3871753594 5807630391 11615260782 17422891173 34845782346