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80303300 = 225271110429
BaseRepresentation
bin1001100100101…
…01010011000100
312121002211102022
410302111103010
5131024201200
611545102312
71663365260
oct462252304
9177084368
1080303300
1141369070
1222a87998
131383845c
14a9450a0
1570b3885
hex4c954c4

80303300 has 72 divisors (see below), whose sum is σ = 217277760. Its totient is φ = 25027200.

The previous prime is 80303287. The next prime is 80303303. The reversal of 80303300 is 330308.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (80303303) 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 23 ways as a sum of consecutive naturals, for example, 2486 + ... + 12914.

Almost surely, 280303300 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 80303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108638880).

80303300 is an abundant number, since it is smaller than the sum of its proper divisors (136974460).

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

80303300 is a wasteful number, since it uses less digits than its factorization.

80303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10454 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 80303300 is about 8961.2108556824. The cubic root of 80303300 is about 431.4307846660.

Adding to 80303300 its reverse (330308), we get a palindrome (80633608).

The spelling of 80303300 in words is "eighty million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 10429 20858 41716 52145 73003 104290 114719 146006 208580 229438 260725 292012 365015 458876 521450 573595 730030 803033 1042900 1147190 1460060 1606066 1825075 2294380 2867975 3212132 3650150 4015165 5735950 7300300 8030330 11471900 16060660 20075825 40151650 80303300