Base | Representation |
---|---|
bin | 10000000111011… |
… | …000100010000000 |
3 | 200211202021012200 |
4 | 100013120202000 |
5 | 1023203332234 |
6 | 42454553200 |
7 | 6462054324 |
oct | 2007304200 |
9 | 624667180 |
10 | 270370944 |
11 | 129687768 |
12 | 76668800 |
13 | 4402590c |
14 | 27c9d984 |
15 | 18b09d99 |
hex | 101d8880 |
270370944 has 96 divisors (see below), whose sum is σ = 804948300. Its totient is φ = 87005184.
The previous prime is 270370927. The next prime is 270370963. The reversal of 270370944 is 449073072.
It can be written as a sum of positive squares in 2 ways, for example, as 270273600 + 97344 = 16440^2 + 312^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×2703709442 = 146200894718902272, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) 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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 270370899 and 270370908.
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, 29362 + ... + 37454.
Almost surely, 2270370944 is an apocalyptic number.
270370944 is a gapful number since it is divisible by the number (24) 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 270370944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402474150).
270370944 is an abundant number, since it is smaller than the sum of its proper divisors (534577356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
270370944 is a wasteful number, since it uses less digits than its factorization.
270370944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8142 (or 8127 counting only the distinct ones).
The product of its (nonzero) digits is 42336, while the sum is 36.
The square root of 270370944 is about 16442.9603174124. The cubic root of 270370944 is about 646.6262621630.
The spelling of 270370944 in words is "two hundred seventy million, three hundred seventy thousand, nine hundred forty-four".
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