Search a number
-
+
30315688 = 2313436779
BaseRepresentation
bin111001110100…
…1010010101000
32010001012022021
41303221102220
530230100223
63001434224
7515451634
oct163512250
963035267
1030315688
1116126697
12a19b974
1363858a0
144051dc4
1529dc65d
hex1ce94a8

30315688 has 32 divisors (see below), whose sum is σ = 62647200. Its totient is φ = 13664448.

The previous prime is 30315683. The next prime is 30315713. The reversal of 30315688 is 88651303.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30315683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083 + ... + 7861.

It is an arithmetic number, because the mean of its divisors is an integer number (1957725).

Almost surely, 230315688 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 30315688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31323600).

30315688 is an abundant number, since it is smaller than the sum of its proper divisors (32331512).

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

30315688 is a wasteful number, since it uses less digits than its factorization.

30315688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 30315688 is about 5505.9683980205. The cubic root of 30315688 is about 311.8093564680.

The spelling of 30315688 in words is "thirty million, three hundred fifteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 344 559 1118 2236 4472 6779 13558 27116 54232 88127 176254 291497 352508 582994 705016 1165988 2331976 3789461 7578922 15157844 30315688