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12342340320 = 2535109235901
BaseRepresentation
bin10110111111010100…
…10010101011100000
31011212011021211222120
423133222102223200
5200234114342240
65400415104240
7614566106322
oct133752225340
934764254876
1012342340320
115263a24a62
122485512080
13121906846b
14851293612
154c3844ad0
hex2dfa92ae0

12342340320 has 96 divisors (see below), whose sum is σ = 39235220640. Its totient is φ = 3261081600.

The previous prime is 12342340313. The next prime is 12342340327. The reversal of 12342340320 is 2304324321.

It is an interprime number because it is at equal distance from previous prime (12342340313) and next prime (12342340327).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342340327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65631 + ... + 170270.

It is an arithmetic number, because the mean of its divisors is an integer number (408700215).

Almost surely, 212342340320 is an apocalyptic number.

12342340320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342340320 is an abundant number, since it is smaller than the sum of its proper divisors (26892880320).

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

12342340320 is a wasteful number, since it uses less digits than its factorization.

12342340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236028 (or 236020 counting only the distinct ones).

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

Adding to 12342340320 its reverse (2304324321), we get a palindrome (14646664641).

The spelling of 12342340320 in words is "twelve billion, three hundred forty-two million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 109 120 160 218 240 327 436 480 545 654 872 1090 1308 1635 1744 2180 2616 3270 3488 4360 5232 6540 8720 10464 13080 17440 26160 52320 235901 471802 707703 943604 1179505 1415406 1887208 2359010 2830812 3538515 3774416 4718020 5661624 7077030 7548832 9436040 11323248 14154060 18872080 22646496 25713209 28308120 37744160 51426418 56616240 77139627 102852836 113232480 128566045 154279254 205705672 257132090 308558508 385698135 411411344 514264180 617117016 771396270 822822688 1028528360 1234234032 1542792540 2057056720 2468468064 3085585080 4114113440 6171170160 12342340320