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34234422336 = 263370927943
BaseRepresentation
bin11111111000100001…
…111101010001000000
310021100212002211211000
4133320201331101000
51030103003003321
623421014252000
72321234534322
oct377041752100
9107325084730
1034234422336
1113578491224
126775057000
1332c773394a
14192a981612
15d55757826
hex7f887d440

34234422336 has 112 divisors (see below), whose sum is σ = 100788419200. Its totient is φ = 11394971136.

The previous prime is 34234422329. The next prime is 34234422403. The reversal of 34234422336 is 63322443243.

34234422336 is a `hidden beast` number, since 3 + 423 + 4 + 4 + 223 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34234422336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1211181 + ... + 1239123.

It is an arithmetic number, because the mean of its divisors is an integer number (899896600).

Almost surely, 234234422336 is an apocalyptic number.

34234422336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34234422336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50394209600).

34234422336 is an abundant number, since it is smaller than the sum of its proper divisors (66553996864).

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

34234422336 is a wasteful number, since it uses less digits than its factorization.

34234422336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28673 (or 28657 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 34234422336 its reverse (63322443243), we get a palindrome (97556865579).

The spelling of 34234422336 in words is "thirty-four billion, two hundred thirty-four million, four hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 709 864 1418 1728 2127 2836 4254 5672 6381 8508 11344 12762 17016 19143 22688 25524 27943 34032 38286 45376 51048 55886 68064 76572 83829 102096 111772 136128 153144 167658 204192 223544 251487 306288 335316 408384 447088 502974 612576 670632 754461 894176 1005948 1225152 1341264 1508922 1788352 2011896 2682528 3017844 4023792 5365056 6035688 8047584 12071376 16095168 19811587 24142752 39623174 48285504 59434761 79246348 118869522 158492696 178304283 237739044 316985392 356608566 475478088 534912849 633970784 713217132 950956176 1069825698 1267941568 1426434264 1901912352 2139651396 2852868528 3803824704 4279302792 5705737056 8558605584 11411474112 17117211168 34234422336