Base | Representation |
---|---|
bin | 10101000111010… |
… | …110011100010000 |
3 | 220200120200112111 |
4 | 111013112130100 |
5 | 1211141422324 |
6 | 55052435104 |
7 | 11531030233 |
oct | 2507263420 |
9 | 820520474 |
10 | 354248464 |
11 | 171a67129 |
12 | 9a778a94 |
13 | 58512b9b |
14 | 3509541a |
15 | 21177794 |
hex | 151d6710 |
354248464 has 40 divisors (see below), whose sum is σ = 726382080. Its totient is φ = 166896000.
The previous prime is 354248459. The next prime is 354248473. The reversal of 354248464 is 464842453.
354248464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×3542484643 (a number of 27 digits) contains 333 as substring.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 55014 + ... + 61114.
It is an arithmetic number, because the mean of its divisors is an integer number (18159552).
Almost surely, 2354248464 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 354248464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363191040).
354248464 is an abundant number, since it is smaller than the sum of its proper divisors (372133616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354248464 is a wasteful number, since it uses less digits than its factorization.
354248464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6319 (or 6313 counting only the distinct ones).
The product of its digits is 368640, while the sum is 40.
The square root of 354248464 is about 18821.4894203408. The cubic root of 354248464 is about 707.5698601246.
The spelling of 354248464 in words is "three hundred fifty-four million, two hundred forty-eight thousand, four hundred sixty-four".
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