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30432115344 = 24317131284689
BaseRepresentation
bin11100010101111001…
…010011101010010000
32220112212101122012010
4130111321103222100
5444311110142334
621551425502520
72125064466231
oct342571235220
986485348163
1030432115344
11119a7154754
125a937a1a40
132b3ca6c457
1416899ad088
15bd1a330e9
hex715e53a90

30432115344 has 80 divisors (see below), whose sum is σ = 83876506560. Its totient is φ = 9474416640.

The previous prime is 30432115319. The next prime is 30432115349. The reversal of 30432115344 is 44351123403.

It is a super-2 number, since 2×304321153442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30432115349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35449 + ... + 249240.

It is an arithmetic number, because the mean of its divisors is an integer number (1048456332).

Almost surely, 230432115344 is an apocalyptic number.

30432115344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30432115344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41938253280).

30432115344 is an abundant number, since it is smaller than the sum of its proper divisors (53444391216).

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

30432115344 is a wasteful number, since it uses less digits than its factorization.

30432115344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284848 (or 284842 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 30432115344 its reverse (44351123403), we get a palindrome (74783238747).

The spelling of 30432115344 in words is "thirty billion, four hundred thirty-two million, one hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 131 136 204 262 272 393 408 524 786 816 1048 1572 2096 2227 3144 4454 6288 6681 8908 13362 17816 26724 35632 53448 106896 284689 569378 854067 1138756 1708134 2277512 3416268 4555024 4839713 6832536 9679426 13665072 14519139 19358852 29038278 37294259 38717704 58076556 74588518 77435408 111882777 116153112 149177036 223765554 232306224 298354072 447531108 596708144 634002403 895062216 1268004806 1790124432 1902007209 2536009612 3804014418 5072019224 7608028836 10144038448 15216057672 30432115344