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80302320 = 24335747113
BaseRepresentation
bin1001100100101…
…01000011110000
312121002210002000
410302111003300
5131024133240
611545054000
71663362360
oct462250360
9177083060
1080302320
114136835a
1222a87300
1313837b87
14a9449a0
1570b3430
hex4c950f0

80302320 has 320 divisors, whose sum is σ = 325693440. Its totient is φ = 17805312.

The previous prime is 80302309. The next prime is 80302331. The reversal of 80302320 is 2320308.

It is an interprime number because it is at equal distance from previous prime (80302309) and next prime (80302331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 80302293 and 80302302.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 710584 + ... + 710696.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 280302320 is an apocalyptic number.

80302320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

80302320 is an abundant number, since it is smaller than the sum of its proper divisors (245391120).

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

80302320 is a wasteful number, since it uses less digits than its factorization.

80302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 80302320 is about 8961.1561754050. The cubic root of 80302320 is about 431.4290296369.

Adding to 80302320 its reverse (2320308), we get a palindrome (82622628).

The spelling of 80302320 in words is "eighty million, three hundred two thousand, three hundred twenty".