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344424321024 = 212372572027
BaseRepresentation
bin1010000001100010100…
…10100001000000000000
31012221000112010100201020
411000301102201000000
521120340111233044
6422120520305440
733612104265300
oct5006122410000
91187015110636
10344424321024
111230846061a3
1256903012280
132662c6ab2b4
1412955159600
158e5c7d5a19
hex50314a1000

344424321024 has 156 divisors (see below), whose sum is σ = 1068289747344. Its totient is φ = 98406776832.

The previous prime is 344424320993. The next prime is 344424321037. The reversal of 344424321024 is 420123424443.

It is a super-2 number, since 2×3444243210242 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316099 + ... + 888125.

Almost surely, 2344424321024 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 344424321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534144873672).

344424321024 is an abundant number, since it is smaller than the sum of its proper divisors (723865426320).

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

344424321024 is an equidigital number, since it uses as much as digits as its factorization.

344424321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572068 (or 572039 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 344424321024 its reverse (420123424443), we get a palindrome (764547745467).

The spelling of 344424321024 in words is "three hundred forty-four billion, four hundred twenty-four million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3584 4096 4704 5376 6144 6272 7168 9408 10752 12288 12544 14336 18816 21504 25088 28672 37632 43008 50176 75264 86016 100352 150528 200704 301056 572027 602112 1144054 1716081 2288108 3432162 4004189 4576216 6864324 8008378 9152432 12012567 13728648 16016756 18304864 24025134 27457296 28029323 32033512 36609728 48050268 54914592 56058646 64067024 73219456 84087969 96100536 109829184 112117292 128134048 146438912 168175938 192201072 219658368 224234584 256268096 292877824 336351876 384402144 439316736 448469168 512536192 585755648 672703752 768804288 878633472 896938336 1025072384 1171511296 1345407504 1537608576 1757266944 1793876672 2050144768 2343022592 2690815008 3075217152 3514533888 3587753344 4100289536 5381630016 6150434304 7029067776 7175506688 8200579072 10763260032 12300868608 14351013376 16401158144 21526520064 24601737216 28702026752 43053040128 49203474432 57404053504 86106080256 114808107008 172212160512 344424321024