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10304300002344 = 23329467153120707
BaseRepresentation
bin1001010111110010100000…
…1001000010110000101000
31100111002012101101000212120
42111330220021002300220
52322311201300033334
633525421410111240
72112314105602635
oct225745011026050
940432171330776
1010304300002344
11331303579a767
1211a506127b520
135998caaa76ca
14278a3339918c
1512d089d86949
hex95f28242c28

10304300002344 has 128 divisors (see below), whose sum is σ = 26724850214400. Its totient is φ = 3306903909120.

The previous prime is 10304300002343. The next prime is 10304300002351. The reversal of 10304300002344 is 44320000340301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10304300002343) 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 31 ways as a sum of consecutive naturals, for example, 497613639 + ... + 497634345.

It is an arithmetic number, because the mean of its divisors is an integer number (208787892300).

Almost surely, 210304300002344 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 10304300002344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13362425107200).

10304300002344 is an abundant number, since it is smaller than the sum of its proper divisors (16420550212056).

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

10304300002344 is a wasteful number, since it uses less digits than its factorization.

10304300002344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22743 (or 22739 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10304300002344 its reverse (44320000340301), we get a palindrome (54624300342645).

The spelling of 10304300002344 in words is "ten trillion, three hundred four billion, three hundred million, two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 467 696 934 1401 1531 1868 2802 3062 3736 4593 5604 6124 9186 11208 12248 13543 18372 20707 27086 36744 40629 41414 44399 54172 62121 81258 82828 88798 108344 124242 133197 162516 165656 177596 248484 266394 325032 355192 496968 532788 600503 714977 1065576 1201006 1429954 1801509 2144931 2402012 2859908 3603018 4289862 4804024 5719816 7206036 8579724 9670169 14412072 17159448 19340338 20734333 29010507 31702417 38680676 41468666 58021014 62202999 63404834 77361352 82937332 95107251 116042028 124405998 126809668 165874664 190214502 232084056 248811996 253619336 280434901 380429004 497623992 560869802 760858008 841304703 919370093 1121739604 1682609406 1838740186 2243479208 2758110279 3365218812 3677480372 5516220558 6730437624 7354960744 11032441116 14805028739 22064882232 29610057478 44415086217 59220114956 88830172434 118440229912 177660344868 355320689736 429345833431 858691666862 1288037500293 1717383333724 2576075000586 3434766667448 5152150001172 10304300002344