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30303144 = 23322329631
BaseRepresentation
bin111001110011…
…0001110101000
32010000120002200
41303212032220
530224200034
63001300200
7515400234
oct163461650
963016080
1030303144
1116118223
12a194660
13637cc71
14404b5c4
1529d8a99
hex1ce63a8

30303144 has 96 divisors (see below), whose sum is σ = 88732800. Its totient is φ = 9313920.

The previous prime is 30303139. The next prime is 30303191. The reversal of 30303144 is 44130303.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47709 + ... + 48339.

It is an arithmetic number, because the mean of its divisors is an integer number (924300).

Almost surely, 230303144 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 30303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44366400).

30303144 is an abundant number, since it is smaller than the sum of its proper divisors (58429656).

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

30303144 is a wasteful number, since it uses less digits than its factorization.

30303144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30303144 is about 5504.8291526622. The cubic root of 30303144 is about 311.7663437967.

Adding to 30303144 its reverse (44130303), we get a palindrome (74433447).

The spelling of 30303144 in words is "thirty million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 29 36 46 58 69 72 87 92 116 138 174 184 207 232 261 276 348 414 522 552 631 667 696 828 1044 1262 1334 1656 1893 2001 2088 2524 2668 3786 4002 5048 5336 5679 6003 7572 8004 11358 12006 14513 15144 16008 18299 22716 24012 29026 36598 43539 45432 48024 54897 58052 73196 87078 109794 116104 130617 146392 164691 174156 219588 261234 329382 348312 420877 439176 522468 658764 841754 1044936 1262631 1317528 1683508 2525262 3367016 3787893 5050524 7575786 10101048 15151572 30303144