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164432031 = 397756101
BaseRepresentation
bin10011100110100…
…00100010011111
3102110102000100020
421303100202133
5314043311111
624152203223
74034435451
oct1163204237
9373360306
10164432031
11848aa245
1247099513
13280b2b7a
1417ba42d1
15e680906
hex9cd089f

164432031 has 8 divisors (see below), whose sum is σ = 219471024. Its totient is φ = 109507200.

The previous prime is 164432011. The next prime is 164432069. The reversal of 164432031 is 130234461.

164432031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164432031 - 25 = 164431999 is a prime.

It is a super-3 number, since 3×1644320313 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 164431992 and 164432010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164432011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25120 + ... + 30981.

It is an arithmetic number, because the mean of its divisors is an integer number (27433878).

Almost surely, 2164432031 is an apocalyptic number.

164432031 is a deficient number, since it is larger than the sum of its proper divisors (55038993).

164432031 is an equidigital number, since it uses as much as digits as its factorization.

164432031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57081.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 164432031 is about 12823.1053571278. The cubic root of 164432031 is about 547.8505984024.

Adding to 164432031 its reverse (130234461), we get a palindrome (294666492).

The spelling of 164432031 in words is "one hundred sixty-four million, four hundred thirty-two thousand, thirty-one".

Divisors: 1 3 977 2931 56101 168303 54810677 164432031