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12430034032 = 2413536716829
BaseRepresentation
bin10111001001110001…
…10100010001110000
31012002021022011010211
423210320310101300
5200424042042112
65413230433504
7620012355163
oct134470642160
935067264124
1012430034032
1152a94805a9
1224aa962894
131231290730
1485cb9dada
154cb3b80a7
hex2e4e34470

12430034032 has 80 divisors (see below), whose sum is σ = 26821095840. Its totient is φ = 5544354816.

The previous prime is 12430034021. The next prime is 12430034039. The reversal of 12430034032 is 23043003421.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12430033994 and 12430034012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430034039) 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, 730194 + ... + 747022.

It is an arithmetic number, because the mean of its divisors is an integer number (335263698).

Almost surely, 212430034032 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 12430034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13410547920).

12430034032 is an abundant number, since it is smaller than the sum of its proper divisors (14391061808).

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

12430034032 is a wasteful number, since it uses less digits than its factorization.

12430034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16970 (or 16964 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 12430034032 its reverse (23043003421), we get a palindrome (35473037453).

The spelling of 12430034032 in words is "twelve billion, four hundred thirty million, thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 53 67 104 106 134 208 212 268 424 536 689 848 871 1072 1378 1742 2756 3484 3551 5512 6968 7102 11024 13936 14204 16829 28408 33658 46163 56816 67316 92326 134632 184652 218777 269264 369304 437554 738608 875108 891937 1127543 1750216 1783874 2255086 3500432 3567748 4510172 7135496 9020344 11595181 14270992 14658059 18040688 23190362 29316118 46380724 58632236 59759779 92761448 117264472 119519558 185522896 234528944 239039116 478078232 776877127 956156464 1553754254 3107508508 6215017016 12430034032