| Base | Representation |
|---|---|
| bin | 10110100011101… |
| … | …001100011100000 |
| 3 | 222101002221120110 |
| 4 | 112203221203200 |
| 5 | 1233340202000 |
| 6 | 101315211320 |
| 7 | 12243502164 |
| oct | 2643514340 |
| 9 | 871087513 |
| 10 | 378444000 |
| 11 | 184692640 |
| 12 | a68a6b40 |
| 13 | 60534b7c |
| 14 | 38392ca4 |
| 15 | 23356850 |
| hex | 168e98e0 |
378444000 has 384 divisors, whose sum is σ = 1403910144. Its totient is φ = 88320000.
The previous prime is 378443999. The next prime is 378444013. The reversal of 378444000 is 444873.
It is a super-2 number, since 2×3784440002 = 286439722272000000, which contains 22 as substring.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6203970 + ... + 6204030.
It is an arithmetic number, because the mean of its divisors is an integer number (3656016).
Almost surely, 2378444000 is an apocalyptic number.
378444000 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 378444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701955072).
378444000 is an abundant number, since it is smaller than the sum of its proper divisors (1025466144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
378444000 is a wasteful number, since it uses less digits than its factorization.
378444000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 147 (or 129 counting only the distinct ones).
The product of its (nonzero) digits is 10752, while the sum is 30.
The square root of 378444000 is about 19453.6371920523. The cubic root of 378444000 is about 723.3256645585.
Adding to 378444000 its reverse (444873), we get a palindrome (378888873).
The spelling of 378444000 in words is "three hundred seventy-eight million, four hundred forty-four thousand".
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