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30894336 = 2832112353
BaseRepresentation
bin111010111011…
…0100100000000
32011010121001200
41311312210000
530402104321
63022101200
7523411644
oct165664400
964117050
1030894336
1116491410
12a41a800
136529095
144162c24
152aa3d26
hex1d76900

30894336 has 216 divisors, whose sum is σ = 103311936. Its totient is φ = 8785920.

The previous prime is 30894329. The next prime is 30894337. The reversal of 30894336 is 63349803.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30894336.

It is not an unprimeable number, because it can be changed into a prime (30894337) 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, 582886 + ... + 582938.

It is an arithmetic number, because the mean of its divisors is an integer number (478296).

Almost surely, 230894336 is an apocalyptic number.

30894336 is a gapful number since it is divisible by the number (36) 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 30894336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51655968).

30894336 is an abundant number, since it is smaller than the sum of its proper divisors (72417600).

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

30894336 is a wasteful number, since it uses less digits than its factorization.

30894336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 30894336 is about 5558.2673559303. The cubic root of 30894336 is about 313.7807440654.

The spelling of 30894336 in words is "thirty million, eight hundred ninety-four thousand, three hundred thirty-six".