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34303252011616 = 257230797105253
BaseRepresentation
bin1111100110010110110010…
…01001101001101001100000
311111110100200121112210110001
413303023121021221221200
513444011030003332431
6200542410232145344
710140220364101300
oct763133111515140
9144410617483401
1034303252011616
11aa25a22527425
123a20249838254
13161aa23a15cc3
148684016b5600
153e748dbb6e61
hex1f32d9269a60

34303252011616 has 72 divisors (see below), whose sum is σ = 78586098711120. Its totient is φ = 14696616920832.

The previous prime is 34303252011601. The next prime is 34303252011617. The reversal of 34303252011616 is 61611025230343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34303252011617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1275246 + ... + 8380498.

It is an arithmetic number, because the mean of its divisors is an integer number (1091473593210).

Almost surely, 234303252011616 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 34303252011616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39293049355560).

34303252011616 is an abundant number, since it is smaller than the sum of its proper divisors (44282846699504).

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

34303252011616 is a wasteful number, since it uses less digits than its factorization.

34303252011616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108356 (or 7108341 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

Adding to 34303252011616 its reverse (61611025230343), we get a palindrome (95914277241959).

The spelling of 34303252011616 in words is "thirty-four trillion, three hundred three billion, two hundred fifty-two million, eleven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 3079 6158 12316 21553 24632 43106 49264 86212 98528 150871 172424 301742 344848 603484 689696 1206968 2413936 4827872 7105253 14210506 28421012 49736771 56842024 99473542 113684048 198947084 227368096 348157397 397894168 696314794 795788336 1392629588 1591576672 2785259176 5570518352 11141036704 21877073987 43754147974 87508295948 153139517909 175016591896 306279035818 350033183792 612558071636 700066367584 1071976625363 1225116143272 2143953250726 2450232286544 4287906501452 4900464573088 8575813002904 17151626005808 34303252011616