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34223302134 = 23272373161771
BaseRepresentation
bin11111110111110111…
…100010010111110110
310021100002011212202200
4133313313202113312
51030042131132014
623415540045330
72321041161030
oct376767422766
9107302155680
1034223302134
111357218647a
126771393846
1332c533c248
1419292c8c50
15d547aca09
hex7f7de25f6

34223302134 has 96 divisors (see below), whose sum is σ = 89639806464. Its totient is φ = 9224772480.

The previous prime is 34223302081. The next prime is 34223302163. The reversal of 34223302134 is 43120332243.

34223302134 is a `hidden beast` number, since 3 + 4 + 223 + 302 + 134 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34223302098 and 34223302107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130669 + ... + 292439.

It is an arithmetic number, because the mean of its divisors is an integer number (933747984).

Almost surely, 234223302134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34223302134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44819903232).

34223302134 is an abundant number, since it is smaller than the sum of its proper divisors (55416504330).

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

34223302134 is a wasteful number, since it uses less digits than its factorization.

34223302134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161882 (or 161879 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34223302134 its reverse (43120332243), we get a palindrome (77343634377).

The spelling of 34223302134 in words is "thirty-four billion, two hundred twenty-three million, three hundred two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 73 126 138 146 161 207 219 322 414 438 483 511 657 966 1022 1314 1449 1533 1679 2898 3066 3358 4599 5037 9198 10074 11753 15111 23506 30222 35259 70518 105777 161771 211554 323542 485313 970626 1132397 1455939 2264794 2911878 3397191 3720733 6794382 7441466 10191573 11162199 11809283 20383146 22324398 23618566 26045131 33486597 35427849 52090262 66973194 70855698 78135393 82664981 106283547 156270786 165329962 212567094 234406179 247994943 271613509 468812358 495989886 543227018 743984829 814840527 1487969658 1629681054 1901294563 2444521581 3802589126 4889043162 5703883689 11407767378 17111651067 34223302134