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34304300436 = 22372115350599
BaseRepresentation
bin11111111100101100…
…100001010110010100
310021112201121000112210
4133330230201112110
51030223400103221
623431552113420
72323043512500
oct377454412624
9107481530483
1034304300436
111360397971a
126794535870
13330905bb33
141935d71300
15d5b95c276
hex7fcb21594

34304300436 has 72 divisors (see below), whose sum is σ = 93194270400. Its totient is φ = 9792534528.

The previous prime is 34304300417. The next prime is 34304300449. The reversal of 34304300436 is 63400340343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652665 + ... + 703263.

Almost surely, 234304300436 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 34304300436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46597135200).

34304300436 is an abundant number, since it is smaller than the sum of its proper divisors (58889969964).

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

34304300436 is a wasteful number, since it uses less digits than its factorization.

34304300436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51773 (or 51764 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 34304300436 its reverse (63400340343), we get a palindrome (97704640779).

The spelling of 34304300436 in words is "thirty-four billion, three hundred four million, three hundred thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1153 2306 3459 4612 6918 8071 13836 16142 24213 32284 48426 50599 56497 96852 101198 112994 151797 169491 202396 225988 303594 338982 354193 607188 677964 708386 1062579 1416772 2125158 2479351 4250316 4958702 7438053 9917404 14876106 29752212 58340647 116681294 175021941 233362588 350043882 408384529 700087764 816769058 1225153587 1633538116 2450307174 2858691703 4900614348 5717383406 8576075109 11434766812 17152150218 34304300436