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30331434384 = 24321271978419
BaseRepresentation
bin11100001111111001…
…001111010110010000
32220021211221111212200
4130033321033112100
5444104321400014
621533431523200
72122432636566
oct341771172620
986254844780
1030331434384
1111955338649
125a65b29500
132b24c4aa14
14167a481a36
15bc7c96a09
hex70fe4f590

30331434384 has 120 divisors (see below), whose sum is σ = 85998781440. Its totient is φ = 9978764544.

The previous prime is 30331434383. The next prime is 30331434433. The reversal of 30331434384 is 48343413303.

30331434384 is a `hidden beast` number, since 303 + 3 + 1 + 4 + 343 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30331434383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3598527 + ... + 3606945.

It is an arithmetic number, because the mean of its divisors is an integer number (716656512).

Almost surely, 230331434384 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 30331434384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42999390720).

30331434384 is an abundant number, since it is smaller than the sum of its proper divisors (55667347056).

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

30331434384 is a wasteful number, since it uses less digits than its factorization.

30331434384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8757 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 30331434384 its reverse (48343413303), we get a palindrome (78674847687).

The spelling of 30331434384 in words is "thirty billion, three hundred thirty-one million, four hundred thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 197 254 381 394 508 591 762 788 1016 1143 1182 1524 1576 1773 2032 2286 2364 3048 3152 3546 4572 4728 6096 7092 8419 9144 9456 14184 16838 18288 25019 25257 28368 33676 50038 50514 67352 75057 75771 100076 101028 134704 150114 151542 200152 202056 225171 300228 303084 400304 404112 450342 600456 606168 900684 1069213 1200912 1212336 1658543 1801368 2138426 3207639 3317086 3602736 4276852 4975629 6415278 6634172 8553704 9622917 9951258 12830556 13268344 14926887 17107408 19245834 19902516 25661112 26536688 29853774 38491668 39805032 51322224 59707548 76983336 79610064 119415096 153966672 210634961 238830192 421269922 631904883 842539844 1263809766 1685079688 1895714649 2527619532 3370159376 3791429298 5055239064 7582858596 10110478128 15165717192 30331434384