Search a number
-
+
43354000 = 245353409
BaseRepresentation
bin1010010101100…
…0011110010000
310000120121111201
42211120132100
542044312000
64145120544
71034334334
oct245303620
9100517451
1043354000
1122521558
1212629154
138c9c371
145a877c4
153c1596a
hex2958790

43354000 has 80 divisors (see below), whose sum is σ = 107069040. Its totient is φ = 16972800.

The previous prime is 43353997. The next prime is 43354007. The reversal of 43354000 is 45334.

It can be written as a sum of positive squares in 8 ways, for example, as 2598544 + 40755456 = 1612^2 + 6384^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43354007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 105796 + ... + 106204.

It is an arithmetic number, because the mean of its divisors is an integer number (1338363).

Almost surely, 243354000 is an apocalyptic number.

43354000 is a gapful number since it is divisible by the number (40) 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 43354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53534520).

43354000 is an abundant number, since it is smaller than the sum of its proper divisors (63715040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

43354000 is a wasteful number, since it uses less digits than its factorization.

43354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 43354000 is about 6584.3754449454. The cubic root of 43354000 is about 351.2985773926.

Adding to 43354000 its reverse (45334), we get a palindrome (43399334).

The spelling of 43354000 in words is "forty-three million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 409 424 500 530 818 848 1000 1060 1325 1636 2000 2045 2120 2650 3272 4090 4240 5300 6544 6625 8180 10225 10600 13250 16360 20450 21200 21677 26500 32720 40900 43354 51125 53000 81800 86708 102250 106000 108385 163600 173416 204500 216770 346832 409000 433540 541925 818000 867080 1083850 1734160 2167700 2709625 4335400 5419250 8670800 10838500 21677000 43354000