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30344042320 = 2451373497933
BaseRepresentation
bin11100010000101001…
…010101011101010000
32220022201200001201021
4130100221111131100
5444121033323240
621535002045224
72122645050454
oct342051253520
986281601637
1030344042320
111196146a129
125a6a1a9814
132b27743637
14167c004664
15bc8e3754a
hex710a55750

30344042320 has 80 divisors (see below), whose sum is σ = 71277469200. Its totient is φ = 12012982272.

The previous prime is 30344042317. The next prime is 30344042371. The reversal of 30344042320 is 2324044303.

It can be written as a sum of positive squares in 8 ways, for example, as 8156736 + 30335885584 = 2856^2 + 174172^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3821074 + ... + 3829006.

It is an arithmetic number, because the mean of its divisors is an integer number (890968365).

Almost surely, 230344042320 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 30344042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35638734600).

30344042320 is an abundant number, since it is smaller than the sum of its proper divisors (40933426880).

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

30344042320 is a wasteful number, since it uses less digits than its factorization.

30344042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432 (or 8426 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 30344042320 its reverse (2324044303), we get a palindrome (32668086623).

The spelling of 30344042320 in words is "thirty billion, three hundred forty-four million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 349 548 685 698 1096 1370 1396 1745 2192 2740 2792 3490 5480 5584 6980 7933 10960 13960 15866 27920 31732 39665 47813 63464 79330 95626 126928 158660 191252 239065 317320 382504 478130 634640 765008 956260 1086821 1912520 2173642 2768617 3825040 4347284 5434105 5537234 8694568 10868210 11074468 13843085 17389136 21736420 22148936 27686170 43472840 44297872 55372340 86945680 110744680 221489360 379300529 758601058 1517202116 1896502645 3034404232 3793005290 6068808464 7586010580 15172021160 30344042320