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663470304 = 25379671021
BaseRepresentation
bin100111100010111…
…100000011100000
31201020102210011020
4213202330003200
52324322022204
6145500245440
722304255520
oct4742740340
91636383136
10663470304
1131056a072
12166240880
13a75bc2a3
1464189680
153d3a8bd9
hex278bc0e0

663470304 has 96 divisors (see below), whose sum is σ = 1994420736. Its totient is φ = 189181440.

The previous prime is 663470279. The next prime is 663470309. The reversal of 663470304 is 403074366.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663470309) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 649314 + ... + 650334.

It is an arithmetic number, because the mean of its divisors is an integer number (20775216).

Almost surely, 2663470304 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 663470304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997210368).

663470304 is an abundant number, since it is smaller than the sum of its proper divisors (1330950432).

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

663470304 is a wasteful number, since it uses less digits than its factorization.

663470304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 663470304 is about 25757.9173071116. The cubic root of 663470304 is about 872.1820874971.

The spelling of 663470304 in words is "six hundred sixty-three million, four hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 967 1021 1934 2042 2901 3063 3868 4084 5802 6126 6769 7147 7736 8168 11604 12252 13538 14294 15472 16336 20307 21441 23208 24504 27076 28588 30944 32672 40614 42882 46416 49008 54152 57176 81228 85764 92832 98016 108304 114352 162456 171528 216608 228704 324912 343056 649824 686112 987307 1974614 2961921 3949228 5923842 6911149 7898456 11847684 13822298 15796912 20733447 23695368 27644596 31593824 41466894 47390736 55289192 82933788 94781472 110578384 165867576 221156768 331735152 663470304