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34081488224 = 257221735643
BaseRepresentation
bin11111101111011010…
…100011110101100000
310020222012022222122122
4133233122203311200
51024244330110344
623353512323412
72314366604300
oct375732436540
9106865288578
1034081488224
11134aa1255a3
1267319a3568
1332a1b483a4
141914531600
15d470e8aee
hex7ef6a3d60

34081488224 has 36 divisors (see below), whose sum is σ = 78052697604. Its totient is φ = 14606351424.

The previous prime is 34081488143. The next prime is 34081488227. The reversal of 34081488224 is 42288418043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34081488227) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10866254 + ... + 10869389.

It is an arithmetic number, because the mean of its divisors is an integer number (2168130489).

Almost surely, 234081488224 is an apocalyptic number.

It is an amenable number.

34081488224 is an abundant number, since it is smaller than the sum of its proper divisors (43971209380).

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

34081488224 is a wasteful number, since it uses less digits than its factorization.

34081488224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21735667 (or 21735652 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The spelling of 34081488224 in words is "thirty-four billion, eighty-one million, four hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 21735643 43471286 86942572 152149501 173885144 304299002 347770288 608598004 695540576 1065046507 1217196008 2130093014 2434392016 4260186028 4868784032 8520372056 17040744112 34081488224