Base | Representation |
---|---|
bin | 10101000110110… |
… | …101001101000000 |
3 | 220200022202210010 |
4 | 111012311031000 |
5 | 1211123043240 |
6 | 55045504520 |
7 | 11526622302 |
oct | 2506651500 |
9 | 820282703 |
10 | 354112320 |
11 | 171983911 |
12 | 9a712140 |
13 | 58495c23 |
14 | 3505b972 |
15 | 2114c280 |
hex | 151b5340 |
354112320 has 112 divisors (see below), whose sum is σ = 1142926848. Its totient is φ = 92866560.
The previous prime is 354112307. The next prime is 354112321. The reversal of 354112320 is 23211453.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (354112321) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55537 + ... + 61583.
It is an arithmetic number, because the mean of its divisors is an integer number (10204704).
Almost surely, 2354112320 is an apocalyptic number.
354112320 is a gapful number since it is divisible by the number (30) 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 354112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571463424).
354112320 is an abundant number, since it is smaller than the sum of its proper divisors (788814528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354112320 is a wasteful number, since it uses less digits than its factorization.
354112320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6128 (or 6118 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 21.
The square root of 354112320 is about 18817.8723558217. The cubic root of 354112320 is about 707.4792046063.
Adding to 354112320 its reverse (23211453), we get a palindrome (377323773).
The spelling of 354112320 in words is "three hundred fifty-four million, one hundred twelve thousand, three hundred twenty".
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