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630242208 = 2534243149
BaseRepresentation
bin100101100100001…
…011101110100000
31121220220121210000
4211210023232200
52242320222313
6142312140000
721421653561
oct4544135640
91556817700
10630242208
112a3834332
12157097600
13a0756bab
145d9ba168
153a4e3673
hex2590bba0

630242208 has 60 divisors (see below), whose sum is σ = 1853532450. Its totient is φ = 210079872.

The previous prime is 630242191. The next prime is 630242209. The reversal of 630242208 is 802242036.

630242208 is a `hidden beast` number, since 630 + 2 + 4 + 2 + 20 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 327899664 + 302342544 = 18108^2 + 17388^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (630242209) 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 9 ways as a sum of consecutive naturals, for example, 118983 + ... + 124166.

Almost surely, 2630242208 is an apocalyptic number.

It is an amenable number.

630242208 is an abundant number, since it is smaller than the sum of its proper divisors (1223290242).

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

630242208 is a wasteful number, since it uses less digits than its factorization.

630242208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243171 (or 243154 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 630242208 is about 25104.6252312198. The cubic root of 630242208 is about 857.3717343076.

The spelling of 630242208 in words is "six hundred thirty million, two hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 243149 486298 729447 972596 1458894 1945192 2188341 2917788 3890384 4376682 5835576 6565023 7780768 8753364 11671152 13130046 17506728 19695069 23342304 26260092 35013456 39390138 52520184 70026912 78780276 105040368 157560552 210080736 315121104 630242208