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30144312 = 2334114229
BaseRepresentation
bin111001011111…
…1011100111000
32002201111020000
41302333130320
530204104222
62554033000
7514136202
oct162773470
962644200
1030144312
1116019960
12a118760
136325893
144009772
1529a69ac
hex1cbf738

30144312 has 80 divisors (see below), whose sum is σ = 92129400. Its totient is φ = 9132480.

The previous prime is 30144293. The next prime is 30144319. The reversal of 30144312 is 21344103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144319) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5014 + ... + 9242.

Almost surely, 230144312 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 30144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46064700).

30144312 is an abundant number, since it is smaller than the sum of its proper divisors (61985088).

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

30144312 is a wasteful number, since it uses less digits than its factorization.

30144312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4258 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30144312 is about 5490.3835931563. The cubic root of 30144312 is about 311.2206881963.

Adding to 30144312 its reverse (21344103), we get a palindrome (51488415).

The spelling of 30144312 in words is "thirty million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 4229 7128 8458 12687 16916 25374 33832 38061 46519 50748 76122 93038 101496 114183 139557 152244 186076 228366 279114 304488 342549 372152 418671 456732 558228 685098 837342 913464 1116456 1256013 1370196 1674684 2512026 2740392 3349368 3768039 5024052 7536078 10048104 15072156 30144312