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34346433212 = 227131273112389
BaseRepresentation
bin11111111111001101…
…001111101010111100
310021122122212120211222
4133333031033222330
51030320141330322
623440055132512
72324064602540
oct377715175274
9107578776758
1034346433212
11136257366a3
1267a6674138
1333149c1380
14193b7bba20
15d604d0e42
hex7ff34fabc

34346433212 has 96 divisors (see below), whose sum is σ = 74830479360. Its totient is φ = 13431640320.

The previous prime is 34346433211. The next prime is 34346433217. The reversal of 34346433212 is 21233464343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34346433211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14375714 + ... + 14378102.

It is an arithmetic number, because the mean of its divisors is an integer number (779484160).

Almost surely, 234346433212 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 34346433212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37415239680).

34346433212 is an abundant number, since it is smaller than the sum of its proper divisors (40484046148).

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

34346433212 is a wasteful number, since it uses less digits than its factorization.

34346433212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2849 counting only the distinct ones).

The product of its digits is 124416, while the sum is 35.

Adding to 34346433212 its reverse (21233464343), we get a palindrome (55579897555).

The spelling of 34346433212 in words is "thirty-four billion, three hundred forty-six million, four hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 127 182 254 311 364 508 622 889 1244 1651 1778 2177 2389 3302 3556 4043 4354 4778 6604 8086 8708 9556 11557 16172 16723 23114 28301 31057 33446 39497 46228 56602 62114 66892 78994 113204 124228 157988 217399 276479 303403 434798 513461 552958 606806 742979 869596 1026922 1105916 1213612 1485958 2053844 2123821 2971916 3594227 3944239 4247642 5200853 7188454 7888478 8495284 9658727 10401706 14376908 15776956 19317454 20803412 27609673 38634908 55219346 67611089 94358333 110438692 135222178 188716666 270444356 377433332 660508331 1226658329 1321016662 2453316658 2642033324 4906633316 8586608303 17173216606 34346433212