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80341632 = 2737741
BaseRepresentation
bin1001100100111…
…10101010000000
312121011210000000
410302132222000
5131031413012
611550000000
71663615110
oct462365200
9177153000
1080341632
1141394948
1222aa6000
131384ca37
14a955040
1570beddc
hex4c9ea80

80341632 has 256 divisors, whose sum is σ = 281030400. Its totient is φ = 22394880.

The previous prime is 80341631. The next prime is 80341637. The reversal of 80341632 is 23614308.

It is a happy number.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 80341596 and 80341605.

It is not an unprimeable number, because it can be changed into a prime (80341631) 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 31 ways as a sum of consecutive naturals, for example, 1959532 + ... + 1959572.

It is an arithmetic number, because the mean of its divisors is an integer number (1097775).

Almost surely, 280341632 is an apocalyptic number.

80341632 is a gapful number since it is divisible by the number (82) 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 80341632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140515200).

80341632 is an abundant number, since it is smaller than the sum of its proper divisors (200688768).

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

80341632 is an frugal number, since it uses more digits than its factorization.

80341632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 80341632 is about 8963.3493739785. The cubic root of 80341632 is about 431.4994201774.

The spelling of 80341632 in words is "eighty million, three hundred forty-one thousand, six hundred thirty-two".