Base | Representation |
---|---|
bin | 10101000111010… |
… | …010110010001100 |
3 | 220200112220222200 |
4 | 111013102302030 |
5 | 1211140432414 |
6 | 55052241500 |
7 | 11530635453 |
oct | 2507226214 |
9 | 820486880 |
10 | 354233484 |
11 | 171a56950 |
12 | 9a770290 |
13 | 58509117 |
14 | 3508db9a |
15 | 21173109 |
hex | 151d2c8c |
354233484 has 144 divisors (see below), whose sum is σ = 1017080064. Its totient is φ = 103017600.
The previous prime is 354233483. The next prime is 354233491. The reversal of 354233484 is 484332453.
354233484 is a `hidden beast` number, since 3 + 542 + 3 + 34 + 84 = 666.
It is a super-3 number, since 3×3542334843 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (354233483) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1208842 + ... + 1209134.
It is an arithmetic number, because the mean of its divisors is an integer number (7063056).
Almost surely, 2354233484 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 354233484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508540032).
354233484 is an abundant number, since it is smaller than the sum of its proper divisors (662846580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354233484 is a wasteful number, since it uses less digits than its factorization.
354233484 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 428 (or 423 counting only the distinct ones).
The product of its digits is 138240, while the sum is 36.
The square root of 354233484 is about 18821.0914667561. The cubic root of 354233484 is about 707.5598863849.
The spelling of 354233484 in words is "three hundred fifty-four million, two hundred thirty-three thousand, four hundred eighty-four".
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