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34222310430 = 235711293591423
BaseRepresentation
bin11111110111110011…
…110000010000011110
310021100000022111101220
4133313303300100132
51030041402413210
623415502514210
72321026560540
oct376763602036
9107300274356
1034222310430
1113571669390
126770b95966
1332c5082a39
14192910b690
15d54663c70
hex7f7cf041e

34222310430 has 256 divisors, whose sum is σ = 106301030400. Its totient is φ = 6841981440.

The previous prime is 34222310417. The next prime is 34222310449. The reversal of 34222310430 is 3401322243.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34222310430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24048699 + ... + 24050121.

It is an arithmetic number, because the mean of its divisors is an integer number (415238400).

Almost surely, 234222310430 is an apocalyptic number.

34222310430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34222310430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53150515200).

34222310430 is an abundant number, since it is smaller than the sum of its proper divisors (72078719970).

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

34222310430 is a wasteful number, since it uses less digits than its factorization.

34222310430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839.

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

Adding to 34222310430 its reverse (3401322243), we get a palindrome (37623632673).

The spelling of 34222310430 in words is "thirty-four billion, two hundred twenty-two million, three hundred ten thousand, four hundred thirty".