Search a number
-
+
1230334056 = 2333719113379
BaseRepresentation
bin100100101010101…
…0110100001101000
310011202002110001000
41021111112201220
510004431142211
6322030155000
742326444520
oct11125264150
93152073030
101230334056
11581545206
122a4052a60
13167b85523
14b9588680
157302d656
hex49556868

1230334056 has 256 divisors, whose sum is σ = 4158720000. Its totient is φ = 329204736.

The previous prime is 1230334031. The next prime is 1230334057. The reversal of 1230334056 is 6504330321.

It is a happy number.

1230334056 is a `hidden beast` number, since 12 + 303 + 340 + 5 + 6 = 666.

It is a super-2 number, since 2×12303340562 = 3027443778706822272, 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 (1230334057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3246075 + ... + 3246453.

It is an arithmetic number, because the mean of its divisors is an integer number (16245000).

Almost surely, 21230334056 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 1230334056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079360000).

1230334056 is an abundant number, since it is smaller than the sum of its proper divisors (2928385944).

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

1230334056 is a wasteful number, since it uses less digits than its factorization.

1230334056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1230334056 is about 35076.1180292232. The cubic root of 1230334056 is about 1071.5382585761.

Adding to 1230334056 its reverse (6504330321), we get a palindrome (7734664377).

The spelling of 1230334056 in words is "one billion, two hundred thirty million, three hundred thirty-four thousand, fifty-six".