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34400006744 = 23371031128313
BaseRepresentation
bin100000000010011001…
…100111001001011000
310021210101200101220212
4200002121213021120
51030422400203434
623445251310252
72325315142565
oct400231471130
9107711611825
1034400006744
11136529a8244
1268005ab388
133322b2b19c
14194496586c
15d650648ce
hex802667258

34400006744 has 32 divisors (see below), whose sum is σ = 66886453920. Its totient is φ = 16572646656.

The previous prime is 34400006671. The next prime is 34400006791. The reversal of 34400006744 is 44760000443.

It is a self number, because there is not a number n which added to its sum of digits gives 34400006744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533669 + ... + 594644.

It is an arithmetic number, because the mean of its divisors is an integer number (2090201685).

Almost surely, 234400006744 is an apocalyptic number.

It is an amenable number.

34400006744 is a deficient number, since it is larger than the sum of its proper divisors (32486447176).

34400006744 is a wasteful number, since it uses less digits than its factorization.

34400006744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128459 (or 1128455 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The spelling of 34400006744 in words is "thirty-four billion, four hundred million, six thousand, seven hundred forty-four".

Divisors: 1 2 4 8 37 74 103 148 206 296 412 824 3811 7622 15244 30488 1128313 2256626 4513252 9026504 41747581 83495162 116216239 166990324 232432478 333980648 464864956 929729912 4300000843 8600001686 17200003372 34400006744