Base | Representation |
---|---|
bin | 10011100101010… |
… | …00111101111000 |
3 | 102110002210000000 |
4 | 21302220331320 |
5 | 314023114234 |
6 | 24144513000 |
7 | 4033162056 |
oct | 1162507570 |
9 | 373083000 |
10 | 164269944 |
11 | 847a9493 |
12 | 4701b760 |
13 | 28057167 |
14 | 17b611d6 |
15 | e64c899 |
hex | 9ca8f78 |
164269944 has 128 divisors (see below), whose sum is σ = 475272000. Its totient is φ = 53187840.
The previous prime is 164269943. The next prime is 164269951. The reversal of 164269944 is 449962461.
It is a super-3 number, since 3×1642699443 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 164269944.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (164269943) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717222 + ... + 717450.
Almost surely, 2164269944 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 164269944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237636000).
164269944 is an abundant number, since it is smaller than the sum of its proper divisors (311002056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164269944 is an equidigital number, since it uses as much as digits as its factorization.
164269944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 297 (or 275 counting only the distinct ones).
The product of its digits is 373248, while the sum is 45.
The square root of 164269944 is about 12816.7836839045. The cubic root of 164269944 is about 547.6705267276.
The spelling of 164269944 in words is "one hundred sixty-four million, two hundred sixty-nine thousand, nine hundred forty-four".
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