Base | Representation |
---|---|
bin | 111001110001001… |
… | …0100011011111000 |
3 | 12000002101201121000 |
4 | 1303202110123320 |
5 | 12432211021230 |
6 | 520202045000 |
7 | 66014633160 |
oct | 16342243370 |
9 | 5002351530 |
10 | 1938376440 |
11 | 905187a00 |
12 | 4611a9760 |
13 | 24b77c410 |
14 | 1456175a0 |
15 | b528db60 |
hex | 738946f8 |
1938376440 has 768 divisors, whose sum is σ = 8794598400. Its totient is φ = 369515520.
The previous prime is 1938376423. The next prime is 1938376457. The reversal of 1938376440 is 446738391.
1938376440 is digitally balanced in base 4, 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 (1938376423) and next prime (1938376457).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11891799 + ... + 11891961.
It is an arithmetic number, because the mean of its divisors is an integer number (11451300).
Almost surely, 21938376440 is an apocalyptic number.
1938376440 is a gapful number since it is divisible by the number (10) 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 1938376440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397299200).
1938376440 is an abundant number, since it is smaller than the sum of its proper divisors (6856221960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1938376440 is a wasteful number, since it uses less digits than its factorization.
1938376440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 225 (or 204 counting only the distinct ones).
The product of its (nonzero) digits is 435456, while the sum is 45.
The square root of 1938376440 is about 44026.9967179230. The cubic root of 1938376440 is about 1246.8456874787.
The spelling of 1938376440 in words is "one billion, nine hundred thirty-eight million, three hundred seventy-six thousand, four hundred forty".
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