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30442840384 = 2611675411193
BaseRepresentation
bin11100010110100010…
…001110000101000000
32220120121120112011211
4130112202032011000
5444321331343014
621552451415504
72125254605455
oct342642160500
986517515154
1030442840384
1111a0220a620
125a972b4594
132b42056028
14168b1a182c
15bd2950cc4
hex71688e140

30442840384 has 112 divisors (see below), whose sum is σ = 67065241536. Its totient is φ = 13594521600.

The previous prime is 30442840367. The next prime is 30442840387. The reversal of 30442840384 is 48304824403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30442840387) 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, 25517292 + ... + 25518484.

Almost surely, 230442840384 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 30442840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33532620768).

30442840384 is an abundant number, since it is smaller than the sum of its proper divisors (36622401152).

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

30442840384 is a wasteful number, since it uses less digits than its factorization.

30442840384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 30442840384 in words is "thirty billion, four hundred forty-two million, eight hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 134 176 268 352 536 541 704 737 1072 1082 1193 1474 2144 2164 2386 2948 4288 4328 4772 5896 5951 8656 9544 11792 11902 13123 17312 19088 23584 23804 26246 34624 36247 38176 47168 47608 52492 72494 76352 79931 95216 104984 144988 159862 190432 209968 289976 319724 380864 398717 419936 579952 639448 645413 797434 839872 879241 1159904 1278896 1290826 1594868 1758482 2319808 2557792 2581652 3189736 3516964 5115584 5163304 6379472 7033928 7099543 10326608 12758944 14067856 14199086 20653216 25517888 28135712 28398172 41306432 43242671 56271424 56796344 86485342 113592688 172970684 227185376 345941368 454370752 475669381 691882736 951338762 1383765472 1902677524 2767530944 3805355048 7610710096 15221420192 30442840384