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1218530304 = 210355983
BaseRepresentation
bin100100010100001…
…0100110000000000
310010220212202100000
41020220110300000
54443420432204
6320525200000
742124223325
oct11050246000
93126782300
101218530304
11575912942
122a0100000
131655b1964
14b7b94b4c
1571e9b039
hex48a14c00

1218530304 has 264 divisors, whose sum is σ = 3755344320. Its totient is φ = 394481664.

The previous prime is 1218530279. The next prime is 1218530309. The reversal of 1218530304 is 4030358121.

It is a happy number.

1218530304 is a `hidden beast` number, since 121 + 8 + 530 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×12185303042 = 2969632203532664832, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1218530309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14681047 + ... + 14681129.

Almost surely, 21218530304 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 1218530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877672160).

1218530304 is an abundant number, since it is smaller than the sum of its proper divisors (2536814016).

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

1218530304 is an frugal number, since it uses more digits than its factorization.

1218530304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1218530304 is about 34907.4534161402. The cubic root of 1218530304 is about 1068.1004829078.

Adding to 1218530304 its reverse (4030358121), we get a palindrome (5248888425).

The spelling of 1218530304 in words is "one billion, two hundred eighteen million, five hundred thirty thousand, three hundred four".