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12344202330 = 2353726214243
BaseRepresentation
bin10110111111100010…
…11001010001011010
31011212021210110011220
423133301121101122
5200240103433310
65400523032510
7614620663035
oct133761312132
934767713156
1012344202330
115264a86a09
12248606b736
13121956ab45
1485161a01c
154c3ab1670
hex2dfc5945a

12344202330 has 64 divisors (see below), whose sum is σ = 30445573248. Its totient is φ = 3200843520.

The previous prime is 12344202313. The next prime is 12344202331. The reversal of 12344202330 is 3320244321.

It is a self number, because there is not a number n which added to its sum of digits gives 12344202330.

It is not an unprimeable number, because it can be changed into a prime (12344202331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2907189 + ... + 2911431.

It is an arithmetic number, because the mean of its divisors is an integer number (475712082).

Almost surely, 212344202330 is an apocalyptic number.

12344202330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12344202330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222786624).

12344202330 is an abundant number, since it is smaller than the sum of its proper divisors (18101370918).

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

12344202330 is a wasteful number, since it uses less digits than its factorization.

12344202330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911.

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

Adding to 12344202330 its reverse (3320244321), we get a palindrome (15664446651).

The spelling of 12344202330 in words is "twelve billion, three hundred forty-four million, two hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 2621 4243 5242 7863 8486 12729 13105 15726 21215 25458 26210 39315 42430 63645 78630 96977 127290 156991 193954 290931 313982 470973 484885 581862 784955 941946 969770 1454655 1569910 2354865 2909310 4709730 11120903 22241806 33362709 55604515 66725418 111209030 166813545 333627090 411473411 822946822 1234420233 2057367055 2468840466 4114734110 6172101165 12344202330