| Base | Representation |
|---|---|
| bin | 10110101000001… |
| … | …011100110000000 |
| 3 | 222110100022012110 |
| 4 | 112220023212000 |
| 5 | 1234141211000 |
| 6 | 101400455320 |
| 7 | 12256550556 |
| oct | 2650134600 |
| 9 | 873308173 |
| 10 | 379632000 |
| 11 | 185324160 |
| 12 | a717a540 |
| 13 | 6085c827 |
| 14 | 385c1bd6 |
| 15 | 234dd850 |
| hex | 16a0b980 |
379632000 has 256 divisors, whose sum is σ = 1374796800. Its totient is φ = 91904000.
The previous prime is 379631999. The next prime is 379632007. The reversal of 379632000 is 236973.
It is a happy number.
379632000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (379632007) 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 31 ways as a sum of consecutive naturals, for example, 527641 + ... + 528359.
It is an arithmetic number, because the mean of its divisors is an integer number (5370300).
Almost surely, 2379632000 is an apocalyptic number.
379632000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 379632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).
379632000 is an abundant number, since it is smaller than the sum of its proper divisors (995164800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
379632000 is a wasteful number, since it uses less digits than its factorization.
379632000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 762 (or 740 counting only the distinct ones).
The product of its (nonzero) digits is 6804, while the sum is 30.
The square root of 379632000 is about 19484.1474024398. The cubic root of 379632000 is about 724.0817546538.
Adding to 379632000 its reverse (236973), we get a palindrome (379868973).
The spelling of 379632000 in words is "three hundred seventy-nine million, six hundred thirty-two thousand".
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