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80344320 = 28357361
BaseRepresentation
bin1001100100111…
…11010100000000
312121011220200120
410302133110000
5131032004240
611550020240
71663626000
oct462372400
9177156616
1080344320
1141396971
1222aa7680
1313851024
14a956000
1570c0ad0
hex4c9f500

80344320 has 288 divisors, whose sum is σ = 304147200. Its totient is φ = 18063360.

The previous prime is 80344309. The next prime is 80344333. The reversal of 80344320 is 2344308.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 1317090 + ... + 1317150.

Almost surely, 280344320 is an apocalyptic number.

80344320 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 80344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152073600).

80344320 is an abundant number, since it is smaller than the sum of its proper divisors (223802880).

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

80344320 is an equidigital number, since it uses as much as digits as its factorization.

80344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 80344320 is about 8963.4993166731. The cubic root of 80344320 is about 431.5042323670.

Adding to 80344320 its reverse (2344308), we get a palindrome (82688628).

The spelling of 80344320 in words is "eighty million, three hundred forty-four thousand, three hundred twenty".