Search a number
-
+
30639312 = 24321123292
BaseRepresentation
bin111010011100…
…0010011010000
32010122122020100
41310320103100
530320424222
63012412400
7521300304
oct164702320
963578210
1030639312
1116327850
12a317100
136469c92
1440d7d04
152a534ac
hex1d384d0

30639312 has 180 divisors, whose sum is σ = 101091744. Its totient is φ = 8574720.

The previous prime is 30639299. The next prime is 30639313. The reversal of 30639312 is 21393603.

30639312 is nontrivially palindromic in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30639313) 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 35 ways as a sum of consecutive naturals, for example, 1056514 + ... + 1056542.

Almost surely, 230639312 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 30639312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50545872).

30639312 is an abundant number, since it is smaller than the sum of its proper divisors (70452432).

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

30639312 is a wasteful number, since it uses less digits than its factorization.

30639312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 30639312 is about 5535.2788547642. The cubic root of 30639312 is about 312.9149670170.

The spelling of 30639312 in words is "thirty million, six hundred thirty-nine thousand, three hundred twelve".