| Base | Representation |
|---|---|
| bin | 10101101110011… |
| … | …110010110010000 |
| 3 | 221101212202010100 |
| 4 | 111232132112100 |
| 5 | 1221303120324 |
| 6 | 100100332400 |
| 7 | 12014144142 |
| oct | 2556362620 |
| 9 | 841782110 |
| 10 | 364504464 |
| 11 | 177831665 |
| 12 | a20a4100 |
| 13 | 5a69411c |
| 14 | 365a4c92 |
| 15 | 220014c9 |
| hex | 15b9e590 |
364504464 has 135 divisors (see below), whose sum is σ = 1073370753. Its totient is φ = 115468416.
The previous prime is 364504453. The next prime is 364504523. The reversal of 364504464 is 464405463.
The square root of 364504464 is 19092.
It is a perfect power (a square), and thus also a powerful number.
364504464 is a `hidden beast` number, since 3 + 645 + 0 + 4 + 4 + 6 + 4 = 666.
364504464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 326163600 + 38340864 = 18060^2 + 6192^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8476827 + ... + 8476869.
Almost surely, 2364504464 is an apocalyptic number.
364504464 is the 19092-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 364504464
364504464 is an abundant number, since it is smaller than the sum of its proper divisors (708866289).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
364504464 is a wasteful number, since it uses less digits than its factorization.
364504464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 174 (or 85 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 36.
The cubic root of 364504464 is about 714.3333894883. Note that the first 4 decimals are identical.
Multiplying 364504464 by its sum of digits (36), we get a square (13122160704 = 1145522).
364504464 divided by its sum of digits (36) gives a square (10125124 = 31822).
Subtracting 364504464 from its reverse (464405463), we obtain a palindrome (99900999).
The spelling of 364504464 in words is "three hundred sixty-four million, five hundred four thousand, four hundred sixty-four".
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