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30818304 = 214321119
BaseRepresentation
bin111010110010…
…0000000000000
32010222201202200
41311210000000
530342141204
63020313200
7522644166
oct165440000
963881680
1030818304
111643a280
12a3a2800
1365005aa
144143236
152a8b539
hex1d64000

30818304 has 180 divisors, whose sum is σ = 102233040. Its totient is φ = 8847360.

The previous prime is 30818303. The next prime is 30818341. The reversal of 30818304 is 40381803.

It is a super-2 number, since 2×308183042 = 1899535722872832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30818303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1622007 + ... + 1622025.

Almost surely, 230818304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30818304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51116520).

30818304 is an abundant number, since it is smaller than the sum of its proper divisors (71414736).

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

30818304 is a wasteful number, since it uses less digits than its factorization.

30818304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 30818304 is about 5551.4236012036. The cubic root of 30818304 is about 313.5231242911.

The spelling of 30818304 in words is "thirty million, eight hundred eighteen thousand, three hundred four".