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12334344232 = 2373147151171
BaseRepresentation
bin10110111110010111…
…10010100000101000
31011211121020121102011
423133023302200220
5200230043003412
65355531445304
7614441124160
oct133713624050
934747217364
1012334344232
11525a463421
1224828b6834
1312174c8a52
148501b15a0
154c2cb57a7
hex2df2f2828

12334344232 has 64 divisors (see below), whose sum is σ = 27864023040. Its totient is φ = 5006750400.

The previous prime is 12334344223. The next prime is 12334344233. The reversal of 12334344232 is 23244343321.

It is a happy number.

12334344232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 12334344194 and 12334344203.

It is not an unprimeable number, because it can be changed into a prime (12334344233) 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 15 ways as a sum of consecutive naturals, for example, 6007 + ... + 157177.

It is an arithmetic number, because the mean of its divisors is an integer number (435375360).

Almost surely, 212334344232 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 12334344232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932011520).

12334344232 is an abundant number, since it is smaller than the sum of its proper divisors (15529678808).

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

12334344232 is a wasteful number, since it uses less digits than its factorization.

12334344232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151262 (or 151258 counting only the distinct ones).

The product of its digits is 41472, while the sum is 31.

Adding to 12334344232 its reverse (23244343321), we get a palindrome (35578687553).

The spelling of 12334344232 in words is "twelve billion, three hundred thirty-four million, three hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 31 47 56 62 94 124 188 217 248 329 376 434 658 868 1316 1457 1736 2632 2914 5828 10199 11656 20398 40796 81592 151171 302342 604684 1058197 1209368 2116394 4232788 4686301 7105037 8465576 9372602 14210074 18745204 28420148 32804107 37490408 49735259 56840296 65608214 99470518 131216428 198941036 220256147 262432856 397882072 440512294 881024588 1541793029 1762049176 3083586058 6167172116 12334344232