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34289833392 = 2432298211167
BaseRepresentation
bin11111111011110101…
…010101010110110000
310021111201101000111100
4133323311111112300
51030211144132032
623430314044400
72322506526513
oct377365252660
9107451330440
1034289833392
11135a6798391
12678b719700
133306064c59
141934086d7a
15d5a55097c
hex7fbd555b0

34289833392 has 60 divisors (see below), whose sum is σ = 99273021120. Its totient is φ = 11035807104.

The previous prime is 34289833301. The next prime is 34289833393. The reversal of 34289833392 is 29333898243.

It is a super-2 number, since 2×342898333922 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34289833393) 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, 4101408 + ... + 4109759.

It is an arithmetic number, because the mean of its divisors is an integer number (1654550352).

Almost surely, 234289833392 is an apocalyptic number.

It is an amenable number.

34289833392 is an abundant number, since it is smaller than the sum of its proper divisors (64983187728).

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

34289833392 is a wasteful number, since it uses less digits than its factorization.

34289833392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8211210 (or 8211201 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 34289833392 in words is "thirty-four billion, two hundred eighty-nine million, eight hundred thirty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 8211167 16422334 24633501 32844668 49267002 65689336 73900503 98534004 131378672 147801006 197068008 238123843 295602012 394136016 476247686 591204024 714371529 952495372 1182408048 1428743058 1904990744 2143114587 2857486116 3809981488 4286229174 5714972232 8572458348 11429944464 17144916696 34289833392