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1134108216 = 2338173141
BaseRepresentation
bin100001110011001…
…0001111000111000
32221001000200000000
41003212101320320
54310312430331
6304311513000
740050521643
oct10346217070
92831020000
101134108216
115321a131a
12277988760
13150c63867
14aa89aa5a
15698720e6
hex43991e38

1134108216 has 288 divisors, whose sum is σ = 3571102080. Its totient is φ = 335923200.

The previous prime is 1134108211. The next prime is 1134108229. The reversal of 1134108216 is 6128014311.

It is a happy number.

It is a super-3 number, since 3×11341082163 (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 a self number, because there is not a number n which added to its sum of digits gives 1134108216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134108211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27661156 + ... + 27661196.

It is an arithmetic number, because the mean of its divisors is an integer number (12399660).

Almost surely, 21134108216 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 1134108216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785551040).

1134108216 is an abundant number, since it is smaller than the sum of its proper divisors (2436993864).

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

1134108216 is an equidigital number, since it uses as much as digits as its factorization.

1134108216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1134108216 is about 33676.5232172206. The cubic root of 1134108216 is about 1042.8411636365.

The spelling of 1134108216 in words is "one billion, one hundred thirty-four million, one hundred eight thousand, two hundred sixteen".