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164836431 = 3344913597
BaseRepresentation
bin10011101001100…
…11010001001111
3102111011120002000
421310303101033
5314144231211
624205003343
74041041454
oct1164632117
9374146060
10164836431
1185056061
1247253553
13281c4c66
1417c6b82b
15e710656
hex9d3344f

164836431 has 16 divisors (see below), whose sum is σ = 244764000. Its totient is φ = 109638144.

The previous prime is 164836429. The next prime is 164836433. The reversal of 164836431 is 134638461.

It is a happy number.

164836431 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 3 + 643 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (164836429) and next prime (164836433).

It is not a de Polignac number, because 164836431 - 21 = 164836429 is a prime.

It is a super-2 number, since 2×1648364312 = 54342097969635522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164836433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5325 + ... + 18921.

It is an arithmetic number, because the mean of its divisors is an integer number (15297750).

Almost surely, 2164836431 is an apocalyptic number.

164836431 is a deficient number, since it is larger than the sum of its proper divisors (79927569).

164836431 is a wasteful number, since it uses less digits than its factorization.

164836431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14055 (or 14049 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 164836431 is about 12838.8640852686. The cubic root of 164836431 is about 548.2993540431.

The spelling of 164836431 in words is "one hundred sixty-four million, eight hundred thirty-six thousand, four hundred thirty-one".

Divisors: 1 3 9 27 449 1347 4041 12123 13597 40791 122373 367119 6105053 18315159 54945477 164836431