Base | Representation |
---|---|
bin | 10101000111001… |
… | …100000101100000 |
3 | 220200111112100112 |
4 | 111013030011200 |
5 | 1211134043143 |
6 | 55051510452 |
7 | 11530462460 |
oct | 2507140540 |
9 | 820445315 |
10 | 354206048 |
11 | 171a38279 |
12 | 9a758428 |
13 | 584c97a1 |
14 | 35083ba0 |
15 | 21169e18 |
hex | 151cc160 |
354206048 has 48 divisors (see below), whose sum is σ = 803303424. Its totient is φ = 150595200.
The previous prime is 354205993. The next prime is 354206081. The reversal of 354206048 is 840602453.
It is a super-3 number, since 3×3542060483 (a number of 27 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (32) 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 (32).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22223 + ... + 34673.
It is an arithmetic number, because the mean of its divisors is an integer number (16735488).
Almost surely, 2354206048 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 354206048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401651712).
354206048 is an abundant number, since it is smaller than the sum of its proper divisors (449097376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354206048 is a wasteful number, since it uses less digits than its factorization.
354206048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12595 (or 12587 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 32.
The square root of 354206048 is about 18820.3625894933. The cubic root of 354206048 is about 707.5416186649.
The spelling of 354206048 in words is "three hundred fifty-four million, two hundred six thousand, forty-eight".
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