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164312145 = 345405709
BaseRepresentation
bin10011100101100…
…11010001010001
3102110011220220000
421302303101101
5314030442040
624145440213
74033426104
oct1162632121
9373156800
10164312145
1184828168
1247040069
132807042a
1417b7273b
15e65a130
hex9cb3451

164312145 has 20 divisors (see below), whose sum is σ = 294545460. Its totient is φ = 87632928.

The previous prime is 164312117. The next prime is 164312147. The reversal of 164312145 is 541213461.

It is a happy number.

164312145 is a `hidden beast` number, since 1 + 643 + 1 + 2 + 14 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37344321 + 126967824 = 6111^2 + 11268^2 .

It is not a de Polignac number, because 164312145 - 26 = 164312081 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (164312147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202450 + ... + 203259.

It is an arithmetic number, because the mean of its divisors is an integer number (14727273).

Almost surely, 2164312145 is an apocalyptic number.

164312145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164312145 is a deficient number, since it is larger than the sum of its proper divisors (130233315).

164312145 is an equidigital number, since it uses as much as digits as its factorization.

164312145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405726 (or 405717 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 164312145 is about 12818.4298960520. The cubic root of 164312145 is about 547.7174216220.

The spelling of 164312145 in words is "one hundred sixty-four million, three hundred twelve thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 405709 1217127 2028545 3651381 6085635 10954143 18256905 32862429 54770715 164312145