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164430417 = 3311768069
BaseRepresentation
bin10011100110100…
…00001001010001
3102110101221010110
421303100021101
5314043233132
624152151533
74034430654
oct1163201121
9373357113
10164430417
11848a9008
12470985a9
13280b2208
1417ba389b
15e6801cc
hex9cd0251

164430417 has 8 divisors (see below), whose sum is σ = 226312960. Its totient is φ = 106084080.

The previous prime is 164430407. The next prime is 164430419. The reversal of 164430417 is 714034461.

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

It is not a de Polignac number, because 164430417 - 26 = 164430353 is a prime.

It is a super-3 number, since 3×1644304173 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164430419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883942 + ... + 884127.

It is an arithmetic number, because the mean of its divisors is an integer number (28289120).

Almost surely, 2164430417 is an apocalyptic number.

It is an amenable number.

164430417 is a deficient number, since it is larger than the sum of its proper divisors (61882543).

164430417 is a wasteful number, since it uses less digits than its factorization.

164430417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768103.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 164430417 is about 12823.0424236996. The cubic root of 164430417 is about 547.8488059013.

Adding to 164430417 its reverse (714034461), we get a palindrome (878464878).

The spelling of 164430417 in words is "one hundred sixty-four million, four hundred thirty thousand, four hundred seventeen".

Divisors: 1 3 31 93 1768069 5304207 54810139 164430417