Base | Representation |
---|---|
bin | 10101001000010… |
… | …001110011111000 |
3 | 220201001001010000 |
4 | 111020101303320 |
5 | 1211222213030 |
6 | 55101553000 |
7 | 11533062216 |
oct | 2510216370 |
9 | 821031100 |
10 | 354491640 |
11 | 1721128a8 |
12 | 9a875760 |
13 | 58599789 |
14 | 35119cb6 |
15 | 211c4860 |
hex | 15211cf8 |
354491640 has 320 divisors, whose sum is σ = 1279618560. Its totient is φ = 87816960.
The previous prime is 354491639. The next prime is 354491773. The reversal of 354491640 is 46194453.
354491640 is a `hidden beast` number, since 3 + 5 + 4 + 4 + 9 + 1 + 640 = 666.
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 a junction number, because it is equal to n+sod(n) for n = 354491595 and 354491604.
It is a congruent number.
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 79 ways as a sum of consecutive naturals, for example, 4992805 + ... + 4992875.
It is an arithmetic number, because the mean of its divisors is an integer number (3998808).
Almost surely, 2354491640 is an apocalyptic number.
354491640 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 354491640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639809280).
354491640 is an abundant number, since it is smaller than the sum of its proper divisors (925126920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354491640 is a wasteful number, since it uses less digits than its factorization.
354491640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 184 (or 171 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 354491640 is about 18827.9483746902. The cubic root of 354491640 is about 707.7317282946.
The spelling of 354491640 in words is "three hundred fifty-four million, four hundred ninety-one thousand, six hundred forty".
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