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30317312 = 281923271
BaseRepresentation
bin111001110100…
…1101100000000
32010001021112102
41303221230000
530230123222
63001445532
7515456444
oct163515400
963037472
1030317312
1116127933
12a1a08a8
13638654c
144052824
1529dcd92
hex1ce9b00

30317312 has 72 divisors (see below), whose sum is σ = 66716160. Its totient is φ = 13685760.

The previous prime is 30317269. The next prime is 30317317. The reversal of 30317312 is 21371303.

It is a happy number.

30317312 is nontrivially palindromic in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30317317) 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 7 ways as a sum of consecutive naturals, for example, 111737 + ... + 112007.

Almost surely, 230317312 is an apocalyptic number.

30317312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33358080).

30317312 is an abundant number, since it is smaller than the sum of its proper divisors (36398848).

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

30317312 is a wasteful number, since it uses less digits than its factorization.

30317312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 30317312 is about 5506.1158723732. The cubic root of 30317312 is about 311.8149242052.

Adding to 30317312 its reverse (21371303), we get a palindrome (51688615).

The spelling of 30317312 in words is "thirty million, three hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 271 304 368 437 542 608 736 874 1084 1216 1472 1748 2168 2432 2944 3496 4336 4864 5149 5888 6233 6992 8672 10298 12466 13984 17344 20596 24932 27968 34688 41192 49864 55936 69376 82384 99728 111872 118427 164768 199456 236854 329536 398912 473708 659072 797824 947416 1318144 1595648 1894832 3789664 7579328 15158656 30317312