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30051312 = 2431983397
BaseRepresentation
bin111001010100…
…0101111110000
32002112202122120
41302220233300
530143120222
62552034240
7513301104
oct162505760
962482576
1030051312
1115a65aa5
12a092980
1362c2455
143dc3904
15298915c
hex1ca8bf0

30051312 has 80 divisors (see below), whose sum is σ = 82911360. Its totient is φ = 9351936.

The previous prime is 30051299. The next prime is 30051313. The reversal of 30051312 is 21315003.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30051291 and 30051300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30051313) 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 15 ways as a sum of consecutive naturals, for example, 75498 + ... + 75894.

It is an arithmetic number, because the mean of its divisors is an integer number (1036392).

Almost surely, 230051312 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 30051312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41455680).

30051312 is an abundant number, since it is smaller than the sum of its proper divisors (52860048).

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

30051312 is a wasteful number, since it uses less digits than its factorization.

30051312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 30051312 is about 5481.9076971434. The cubic root of 30051312 is about 310.9003033726.

Adding to 30051312 its reverse (21315003), we get a palindrome (51366315).

The spelling of 30051312 in words is "thirty million, fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 83 114 152 166 228 249 304 332 397 456 498 664 794 912 996 1191 1328 1577 1588 1992 2382 3154 3176 3984 4731 4764 6308 6352 7543 9462 9528 12616 15086 18924 19056 22629 25232 30172 32951 37848 45258 60344 65902 75696 90516 98853 120688 131804 181032 197706 263608 362064 395412 527216 626069 790824 1252138 1581648 1878207 2504276 3756414 5008552 7512828 10017104 15025656 30051312