Base | Representation |
---|---|
bin | 10001011101110… |
… | …101110101110100 |
3 | 202102101201222020 |
4 | 101131311311310 |
5 | 1100004113010 |
6 | 45024433140 |
7 | 10155521361 |
oct | 2135656564 |
9 | 672351866 |
10 | 293035380 |
11 | 140457900 |
12 | 821787b0 |
13 | 4892ca21 |
14 | 2acbd468 |
15 | 1aad5470 |
hex | 11775d74 |
293035380 has 144 divisors (see below), whose sum is σ = 910920192. Its totient is φ = 70329600.
The previous prime is 293035361. The next prime is 293035403. The reversal of 293035380 is 83530392.
It is a super-4 number, since 4×2930353804 (a number of 35 digits) contains 4444 as substring.
It is a Smith number, since the sum of its digits (33) 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 (33).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313949 + ... + 1314171.
Almost surely, 2293035380 is an apocalyptic number.
293035380 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 293035380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455460096).
293035380 is an abundant number, since it is smaller than the sum of its proper divisors (617884812).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
293035380 is a wasteful number, since it uses less digits than its factorization.
293035380 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 438 (or 425 counting only the distinct ones).
The product of its (nonzero) digits is 19440, while the sum is 33.
The square root of 293035380 is about 17118.2761982625. The cubic root of 293035380 is about 664.2119521024.
The spelling of 293035380 in words is "two hundred ninety-three million, thirty-five thousand, three hundred eighty".
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