Base | Representation |
---|---|
bin | 10011000010100… |
… | …100000000000000 |
3 | 211021002011201110 |
4 | 103002210000000 |
5 | 1123234020343 |
6 | 51410403320 |
7 | 10626120411 |
oct | 2302440000 |
9 | 737064643 |
10 | 319438848 |
11 | 154351153 |
12 | 8ab90540 |
13 | 51245991 |
14 | 305d3808 |
15 | 1d09d833 |
hex | 130a4000 |
319438848 has 120 divisors (see below), whose sum is σ = 873437152. Its totient is φ = 103809024.
The previous prime is 319438841. The next prime is 319438853. The reversal of 319438848 is 848834913.
It is a super-2 number, since 2×3194388482 = 204082355223134208, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 319438797 and 319438806.
It is not an unprimeable number, because it can be changed into a prime (319438841) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3293136 + ... + 3293232.
Almost surely, 2319438848 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 319438848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436718576).
319438848 is an abundant number, since it is smaller than the sum of its proper divisors (553998304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
319438848 is an frugal number, since it uses more digits than its factorization.
319438848 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 195 (or 169 counting only the distinct ones).
The product of its digits is 663552, while the sum is 48.
The square root of 319438848 is about 17872.8522625797. The cubic root of 319438848 is about 683.5903295614.
The spelling of 319438848 in words is "three hundred nineteen million, four hundred thirty-eight thousand, eight hundred forty-eight".
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