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850340 = 225174161
BaseRepresentation
bin11001111100110100100
31121012110002
43033212210
5204202330
630120432
710141061
oct3174644
91535402
10850340
11530967
12350118
1323a07a
14181c68
1511be45
hexcf9a4

850340 has 48 divisors (see below), whose sum is σ = 1968624. Its totient is φ = 307200.

The previous prime is 850337. The next prime is 850349. The reversal of 850340 is 43058.

It can be written as a sum of positive squares in 8 ways, for example, as 200704 + 649636 = 448^2 + 806^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (850349) 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, 13910 + ... + 13970.

It is an arithmetic number, because the mean of its divisors is an integer number (41013).

2850340 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 850340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312).

850340 is an abundant number, since it is smaller than the sum of its proper divisors (1118284).

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

850340 is a wasteful number, since it uses less digits than its factorization.

850340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 850340 is about 922.1388181830. The cubic root of 850340 is about 94.7394522781.

Adding to 850340 its reverse (43058), we get a palindrome (893398).

The spelling of 850340 in words is "eight hundred fifty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 61 68 82 85 122 164 170 205 244 305 340 410 610 697 820 1037 1220 1394 2074 2501 2788 3485 4148 5002 5185 6970 10004 10370 12505 13940 20740 25010 42517 50020 85034 170068 212585 425170 850340