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850304 = 2771373
BaseRepresentation
bin11001111100110000000
31121012101202
43033212000
5204202204
630120332
710141010
oct3174600
91535352
10850304
11530934
123500a8
1323a050
14181c40
1511be1e
hexcf980

850304 has 64 divisors (see below), whose sum is σ = 2113440. Its totient is φ = 331776.

The previous prime is 850303. The next prime is 850331. The reversal of 850304 is 403058.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 850304.

It is not an unprimeable number, because it can be changed into a prime (850301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11612 + ... + 11684.

2850304 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 850304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056720).

850304 is an abundant number, since it is smaller than the sum of its proper divisors (1263136).

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

850304 is a wasteful number, since it uses less digits than its factorization.

850304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

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

The square root of 850304 is about 922.1192981388. The cubic root of 850304 is about 94.7381152959.

The spelling of 850304 in words is "eight hundred fifty thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 73 91 104 112 128 146 182 208 224 292 364 416 448 511 584 728 832 896 949 1022 1168 1456 1664 1898 2044 2336 2912 3796 4088 4672 5824 6643 7592 8176 9344 11648 13286 15184 16352 26572 30368 32704 53144 60736 65408 106288 121472 212576 425152 850304