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34343202012 = 22371961934763
BaseRepresentation
bin11111111111000000…
…111010110011011100
310021122102210102110220
4133333000322303130
51030313324431022
623435502001340
72324025254250
oct377700726334
9107572712426
1034343202012
1113623929a89
1267a5576250
13331412c712
14193b1ba260
15d6009385c
hex7ff03acdc

34343202012 has 96 divisors (see below), whose sum is σ = 96560486400. Its totient is φ = 9280619712.

The previous prime is 34343202011. The next prime is 34343202017. The reversal of 34343202012 is 21020234343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343202011) 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, 970543 + ... + 1005305.

It is an arithmetic number, because the mean of its divisors is an integer number (1005838400).

Almost surely, 234343202012 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 34343202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48280243200).

34343202012 is an abundant number, since it is smaller than the sum of its proper divisors (62217284388).

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

34343202012 is a wasteful number, since it uses less digits than its factorization.

34343202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35415 (or 35413 counting only the distinct ones).

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

Adding to 34343202012 its reverse (21020234343), we get a palindrome (55363436355).

The spelling of 34343202012 in words is "thirty-four billion, three hundred forty-three million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 619 798 1238 1596 1857 2476 3714 4333 7428 8666 11761 12999 17332 23522 25998 34763 35283 47044 51996 69526 70566 82327 104289 139052 141132 164654 208578 243341 246981 329308 417156 486682 493962 660497 730023 973364 987924 1320994 1460046 1981491 2641988 2920092 3962982 4623479 7925964 9246958 13870437 18493916 21518297 27740874 43036594 55481748 64554891 86073188 129109782 150628079 258219564 301256158 408847643 451884237 602512316 817695286 903768474 1226542929 1635390572 1807536948 2453085858 2861933501 4906171716 5723867002 8585800503 11447734004 17171601006 34343202012