Base | Representation |
---|---|
bin | 1100011100110001… |
… | …1010111110010000 |
3 | 22121220102020102000 |
4 | 3013030122332100 |
5 | 23321013002232 |
6 | 1311340554000 |
7 | 145546604250 |
oct | 30714327620 |
9 | 8556366360 |
10 | 3341922192 |
11 | 1465478674 |
12 | 793252900 |
13 | 41349ca6b |
14 | 239bad960 |
15 | 1485d427c |
hex | c731af90 |
3341922192 has 160 divisors (see below), whose sum is σ = 11037984000. Its totient is φ = 948298752.
The previous prime is 3341922173. The next prime is 3341922193. The reversal of 3341922192 is 2912291433.
3341922192 is a `hidden beast` number, since 3 + 341 + 9 + 221 + 92 = 666.
3341922192 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-3 number, since 3×33419221923 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (3341922193) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446868 + ... + 454284.
It is an arithmetic number, because the mean of its divisors is an integer number (68987400).
Almost surely, 23341922192 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 3341922192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518992000).
3341922192 is an abundant number, since it is smaller than the sum of its proper divisors (7696061808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3341922192 is a wasteful number, since it uses less digits than its factorization.
3341922192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7590 (or 7578 counting only the distinct ones).
The product of its digits is 23328, while the sum is 36.
The square root of 3341922192 is about 57809.3607644990. The cubic root of 3341922192 is about 1495.0834868721.
It can be divided in two parts, 33419 and 22192, that added together give a triangular number (55611 = T333).
The spelling of 3341922192 in words is "three billion, three hundred forty-one million, nine hundred twenty-two thousand, one hundred ninety-two".
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