Base | Representation |
---|---|
bin | 10101001000011… |
… | …011001011010000 |
3 | 220201002222201202 |
4 | 111020123023100 |
5 | 1211224430000 |
6 | 55102450332 |
7 | 11533312106 |
oct | 2510331320 |
9 | 821088652 |
10 | 354530000 |
11 | 172139700 |
12 | 9a8939a8 |
13 | 585b1086 |
14 | 35129c76 |
15 | 211d0dd5 |
hex | 1521b2d0 |
354530000 has 150 divisors (see below), whose sum is σ = 946698522. Its totient is φ = 128480000.
The previous prime is 354529979. The next prime is 354530003. The reversal of 354530000 is 35453.
It can be written as a sum of positive squares in 5 ways, for example, as 53993104 + 300536896 = 7348^2 + 17336^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (354530003) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1209854 + ... + 1210146.
Almost surely, 2354530000 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 354530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473349261).
354530000 is an abundant number, since it is smaller than the sum of its proper divisors (592168522).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354530000 is a wasteful number, since it uses less digits than its factorization.
354530000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 343 (or 311 counting only the distinct ones).
The product of its (nonzero) digits is 900, while the sum is 20.
The square root of 354530000 is about 18828.9670454861. The cubic root of 354530000 is about 707.7572555632.
Adding to 354530000 its reverse (35453), we get a palindrome (354565453).
Multiplying 354530000 by its reverse (35453), we get a square (12569152090000 = 35453002).
354530000 divided by its reverse (35453) gives a 4-th power (10000 = 104).
The spelling of 354530000 in words is "three hundred fifty-four million, five hundred thirty thousand".
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