Search a number
-
+
80934084 = 223272114397
BaseRepresentation
bin1001101001011…
…11010011000100
312122021212200200
410310233103010
5131204342314
612010410500
72001633300
oct464572304
9178255620
1080934084
1141759a80
1223130a30
13139c95ba
14aa6ad00
15718a709
hex4d2f4c4

80934084 has 216 divisors, whose sum is σ = 268396128. Its totient is φ = 20321280.

The previous prime is 80934083. The next prime is 80934109. The reversal of 80934084 is 48043908.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80934083) 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 71 ways as a sum of consecutive naturals, for example, 834324 + ... + 834420.

Almost surely, 280934084 is an apocalyptic number.

80934084 is a gapful number since it is divisible by the number (84) 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 80934084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134198064).

80934084 is an abundant number, since it is smaller than the sum of its proper divisors (187462044).

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

80934084 is a wasteful number, since it uses less digits than its factorization.

80934084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 80934084 is about 8996.3372546832. The cubic root of 80934084 is about 432.5574721759.

The spelling of 80934084 in words is "eighty million, nine hundred thirty-four thousand, eighty-four".