| Base | Representation |
|---|---|
| bin | 10110100011101… |
| … | …001100111010000 |
| 3 | 222101002221220100 |
| 4 | 112203221213100 |
| 5 | 1233340203430 |
| 6 | 101315212400 |
| 7 | 12243502656 |
| oct | 2643514720 |
| 9 | 871087810 |
| 10 | 378444240 |
| 11 | 184692839 |
| 12 | a68a7100 |
| 13 | 60535005 |
| 14 | 38392dd6 |
| 15 | 23356960 |
| hex | 168e99d0 |
378444240 has 120 divisors (see below), whose sum is σ = 1275398280. Its totient is φ = 100564992.
The previous prime is 378444233. The next prime is 378444263. The reversal of 378444240 is 42444873.
It is a happy number.
378444240 is a `hidden beast` number, since 378 + 4 + 44 + 240 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 5645376 + 372798864 = 2376^2 + 19308^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 378444195 and 378444204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253416 + ... + 254904.
It is an arithmetic number, because the mean of its divisors is an integer number (10628319).
Almost surely, 2378444240 is an apocalyptic number.
378444240 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 378444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637699140).
378444240 is an abundant number, since it is smaller than the sum of its proper divisors (896954040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
378444240 is a wasteful number, since it uses less digits than its factorization.
378444240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1861 (or 1852 counting only the distinct ones).
The product of its (nonzero) digits is 86016, while the sum is 36.
The square root of 378444240 is about 19453.6433605636. The cubic root of 378444240 is about 723.3258174636.
The spelling of 378444240 in words is "three hundred seventy-eight million, four hundred forty-four thousand, two hundred forty".
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