| Base | Representation |
|---|---|
| bin | 10101111110010… |
| … | …111110011100000 |
| 3 | 221200201110212100 |
| 4 | 111332113303200 |
| 5 | 1223340000333 |
| 6 | 100325530400 |
| 7 | 12064442250 |
| oct | 2576276340 |
| 9 | 850643770 |
| 10 | 368671968 |
| 11 | 17a118785 |
| 12 | a3573a00 |
| 13 | 5b4c2cc2 |
| 14 | 36d6b960 |
| 15 | 22576213 |
| hex | 15f97ce0 |
368671968 has 144 divisors (see below), whose sum is σ = 1250436096. Its totient is φ = 100742400.
The previous prime is 368671967. The next prime is 368671969. The reversal of 368671968 is 869176863.
It is a happy number.
368671968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (368671967) and next prime (368671969).
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (368671967) 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, 42393 + ... + 50343.
It is an arithmetic number, because the mean of its divisors is an integer number (8683584).
Almost surely, 2368671968 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 368671968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625218048).
368671968 is an abundant number, since it is smaller than the sum of its proper divisors (881764128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
368671968 is a wasteful number, since it uses less digits than its factorization.
368671968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7997 (or 7986 counting only the distinct ones).
The product of its digits is 2612736, while the sum is 54.
The square root of 368671968 is about 19200.8324819524. The cubic root of 368671968 is about 717.0454853470.
The spelling of 368671968 in words is "three hundred sixty-eight million, six hundred seventy-one thousand, nine hundred sixty-eight".
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