Base | Representation |
---|---|
bin | 10111000010010… |
… | …01111101110000 |
3 | 111110121122202000 |
4 | 23201021331300 |
5 | 343432202234 |
6 | 31101454000 |
7 | 4534343451 |
oct | 1341117560 |
9 | 443548660 |
10 | 193240944 |
11 | 9a096866 |
12 | 54871300 |
13 | 3105b970 |
14 | 1b943128 |
15 | 11e71899 |
hex | b849f70 |
193240944 has 160 divisors (see below), whose sum is σ = 629126400. Its totient is φ = 56298240.
The previous prime is 193240919. The next prime is 193240967. The reversal of 193240944 is 449042391.
193240944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1932409442 = 74684124876022272, which contains 22 as substring.
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 = 193240899 and 193240908.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105799 + ... + 107609.
It is an arithmetic number, because the mean of its divisors is an integer number (3932040).
Almost surely, 2193240944 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 193240944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314563200).
193240944 is an abundant number, since it is smaller than the sum of its proper divisors (435885456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
193240944 is a wasteful number, since it uses less digits than its factorization.
193240944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1860 (or 1848 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 193240944 is about 13901.1130489612. The cubic root of 193240944 is about 578.1400426142.
The spelling of 193240944 in words is "one hundred ninety-three million, two hundred forty thousand, nine hundred forty-four".
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