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164541314 = 2721678993
BaseRepresentation
bin10011100111010…
…11001110000010
3102110121120020202
421303223032002
5314110310224
624154405202
74035402200
oct1163531602
9373546222
10164541314
1184974363
1247130802
1328120832
1417bd2070
15e6a2eae
hex9ceb382

164541314 has 12 divisors (see below), whose sum is σ = 287107974. Its totient is φ = 70517664.

The previous prime is 164541301. The next prime is 164541319. The reversal of 164541314 is 413145461.

164541314 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 113060689 + 51480625 = 10633^2 + 7175^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164541319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 839399 + ... + 839594.

Almost surely, 2164541314 is an apocalyptic number.

164541314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

164541314 is a deficient number, since it is larger than the sum of its proper divisors (122566660).

164541314 is a wasteful number, since it uses less digits than its factorization.

164541314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679009 (or 1679002 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 164541314 is about 12827.3658246734. The cubic root of 164541314 is about 547.9719403289.

Adding to 164541314 its reverse (413145461), we get a palindrome (577686775).

The spelling of 164541314 in words is "one hundred sixty-four million, five hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 7 14 49 98 1678993 3357986 11752951 23505902 82270657 164541314