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116385345 = 3252586341
BaseRepresentation
bin1101110111111…
…10011001000001
322002222222200100
412323332121001
5214243312340
615314313013
72612154606
oct673763101
9262888610
10116385345
115a77303a
1232b88769
131b15c88b
14116586ad
15a33e830
hex6efe641

116385345 has 12 divisors (see below), whose sum is σ = 201734676. Its totient is φ = 62072160.

The previous prime is 116385341. The next prime is 116385371. The reversal of 116385345 is 543583611.

116385345 is a `hidden beast` number, since 11 + 638 + 5 + 3 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47279376 + 69105969 = 6876^2 + 8313^2 .

It is not a de Polignac number, because 116385345 - 22 = 116385341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116385341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1293126 + ... + 1293215.

It is an arithmetic number, because the mean of its divisors is an integer number (16811223).

Almost surely, 2116385345 is an apocalyptic number.

116385345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116385345 is a deficient number, since it is larger than the sum of its proper divisors (85349331).

116385345 is a wasteful number, since it uses less digits than its factorization.

116385345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586352 (or 2586349 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 116385345 is about 10788.2039747124. The cubic root of 116385345 is about 488.2393357605.

The spelling of 116385345 in words is "one hundred sixteen million, three hundred eighty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 2586341 7759023 12931705 23277069 38795115 116385345