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306164201 = 73231972
BaseRepresentation
bin10010001111111…
…011000111101001
3210100002202022212
4102033323013221
51111334223301
650214054505
710405232000
oct2217730751
9710082285
10306164201
11147904772
128664a435
134b578765
142c939c37
151bd2a4bb
hex123fb1e9

306164201 has 24 divisors (see below), whose sum is σ = 374467200. Its totient is φ = 249742416.

The previous prime is 306164189. The next prime is 306164213. The reversal of 306164201 is 102461603.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (306164189) and next prime (306164213).

It is not a de Polignac number, because 306164201 - 26 = 306164137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306163201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1554035 + ... + 1554231.

It is an arithmetic number, because the mean of its divisors is an integer number (15602800).

Almost surely, 2306164201 is an apocalyptic number.

It is an amenable number.

306164201 is a deficient number, since it is larger than the sum of its proper divisors (68302999).

306164201 is an frugal number, since it uses more digits than its factorization.

306164201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 306164201 is about 17497.5484282799. The cubic root of 306164201 is about 673.9869217936.

The spelling of 306164201 in words is "three hundred six million, one hundred sixty-four thousand, two hundred one".

Divisors: 1 7 23 49 161 197 343 1127 1379 4531 7889 9653 31717 38809 67571 222019 271663 892607 1554133 1901641 6248249 13311487 43737743 306164201