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41345000 = 23548269
BaseRepresentation
bin1001110110110…
…1111111101000
32212210112200022
42131231333220
541041020000
64034100012
71011266234
oct235557750
985715608
1041345000
112137a124
1211a1a608
138747ac8
1456c35c4
15396a585
hex276dfe8

41345000 has 40 divisors (see below), whose sum is σ = 96883050. Its totient is φ = 16536000.

The previous prime is 41344999. The next prime is 41345009. The reversal of 41345000 is 54314.

It can be written as a sum of positive squares in 5 ways, for example, as 5080516 + 36264484 = 2254^2 + 6022^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 41345000.

It is not an unprimeable number, because it can be changed into a prime (41345009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 866 + ... + 9134.

Almost surely, 241345000 is an apocalyptic number.

41345000 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 41345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48441525).

41345000 is an abundant number, since it is smaller than the sum of its proper divisors (55538050).

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

41345000 is an equidigital number, since it uses as much as digits as its factorization.

41345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8295 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 41345000 is about 6430.0077760451. The cubic root of 41345000 is about 345.7862067040.

Adding to 41345000 its reverse (54314), we get a palindrome (41399314).

The spelling of 41345000 in words is "forty-one million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 8269 16538 33076 41345 66152 82690 165380 206725 330760 413450 826900 1033625 1653800 2067250 4134500 5168125 8269000 10336250 20672500 41345000