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12334324398 = 23111747673491
BaseRepresentation
bin10110111110010111…
…01101101010101110
31011211121012121012120
423133023231222232
5200230041340043
65355531213410
7614441012304
oct133713555256
934747177176
1012334324398
11525a44a530
1224828a7266
1312174bca06
148501a8274
154c2cae983
hex2df2edaae

12334324398 has 128 divisors (see below), whose sum is σ = 29543325696. Its totient is φ = 3390604800.

The previous prime is 12334324397. The next prime is 12334324417. The reversal of 12334324398 is 89342343321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334324393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3531433 + ... + 3534923.

It is an arithmetic number, because the mean of its divisors is an integer number (230807232).

Almost surely, 212334324398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12334324398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14771662848).

12334324398 is an abundant number, since it is smaller than the sum of its proper divisors (17209001298).

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

12334324398 is a wasteful number, since it uses less digits than its factorization.

12334324398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638.

The product of its digits is 373248, while the sum is 42.

It can be divided in two parts, 123343 and 24398, that added together give a palindrome (147741).

The spelling of 12334324398 in words is "twelve billion, three hundred thirty-four million, three hundred twenty-four thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 11 17 22 33 34 47 51 66 67 94 102 134 141 187 201 282 374 402 517 561 737 799 1034 1122 1139 1474 1551 1598 2211 2278 2397 3102 3149 3417 3491 4422 4794 6298 6834 6982 8789 9447 10473 12529 17578 18894 20946 25058 26367 34639 37587 38401 52734 53533 59347 69278 75174 76802 103917 107066 115203 118694 160599 164077 178041 207834 230406 233897 321198 328154 356082 467794 492231 588863 652817 701691 984462 1177726 1305634 1403382 1766589 1804847 1958451 2572867 2789309 3533178 3609694 3916902 3976249 5145734 5414541 5578618 7718601 7952498 8367927 10829082 10993159 11928747 15437202 16735854 21986318 23857494 30682399 32979477 43738739 61364798 65958954 87477478 92047197 120924749 131216217 184094394 186883703 241849498 262432434 362774247 373767406 560651109 725548494 1121302218 2055720733 4111441466 6167162199 12334324398