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1161074304 = 27331343601
BaseRepresentation
bin100010100110100…
…1001011010000000
32222220202200112000
41011031021122000
54334213334204
6311113504000
740525653165
oct10515113200
92886680460
101161074304
1154643a345
12284a12000
13156715920
14b02ba06c
156bdec039
hex45349680

1161074304 has 256 divisors, whose sum is σ = 3782486400. Its totient is φ = 348364800.

The previous prime is 1161074303. The next prime is 1161074309. The reversal of 1161074304 is 4034701611.

It is a happy number.

1161074304 is a `hidden beast` number, since 1 + 1 + 610 + 7 + 43 + 0 + 4 = 666.

It is a super-3 number, since 3×11610743043 (a number of 28 digits) contains 333 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 (1161074303) 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, 1931604 + ... + 1932204.

Almost surely, 21161074304 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 1161074304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891243200).

1161074304 is an abundant number, since it is smaller than the sum of its proper divisors (2621412096).

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

1161074304 is a wasteful number, since it uses less digits than its factorization.

1161074304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1161074304 is about 34074.5404077590. The cubic root of 1161074304 is about 1051.0418393853.

Adding to 1161074304 its reverse (4034701611), we get a palindrome (5195775915).

The spelling of 1161074304 in words is "one billion, one hundred sixty-one million, seventy-four thousand, three hundred four".