Base | Representation |
---|---|
bin | 11100011001111… |
… | …01110000000000 |
3 | 121121100212021100 |
4 | 32030331300000 |
5 | 441444422210 |
6 | 35351054400 |
7 | 5622225642 |
oct | 1614756000 |
9 | 547325240 |
10 | 238279680 |
11 | 112559061 |
12 | 67971400 |
13 | 3a49aac2 |
14 | 23908892 |
15 | 15dbb5c0 |
hex | e33dc00 |
238279680 has 132 divisors (see below), whose sum is σ = 825792552. Its totient is φ = 63528960.
The previous prime is 238279649. The next prime is 238279711. The reversal of 238279680 is 86972832.
It is an interprime number because it is at equal distance from previous prime (238279649) and next prime (238279711).
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 11 ways as a sum of consecutive naturals, for example, 43495 + ... + 48665.
Almost surely, 2238279680 is an apocalyptic number.
238279680 is a gapful number since it is divisible by the number (20) 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 238279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412896276).
238279680 is an abundant number, since it is smaller than the sum of its proper divisors (587512872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238279680 is a wasteful number, since it uses less digits than its factorization.
238279680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5202 (or 5181 counting only the distinct ones).
The product of its (nonzero) digits is 290304, while the sum is 45.
The square root of 238279680 is about 15436.3104399983. The cubic root of 238279680 is about 619.9580963702.
The spelling of 238279680 in words is "two hundred thirty-eight million, two hundred seventy-nine thousand, six hundred eighty".
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