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34400643501 = 372234017983
BaseRepresentation
bin100000000010011100…
…000010100110101101
310021210102212202101110
4200002130002212231
51030423031043001
623445313102233
72325323434200
oct400234024655
9107712782343
1034400643501
11136532a2694
126800857979
133322cc1c73
141944a8d937
15d6513d3d6
hex8027029ad

34400643501 has 12 divisors (see below), whose sum is σ = 53356100352. Its totient is φ = 19657510488.

The previous prime is 34400643499. The next prime is 34400643509. The reversal of 34400643501 is 10534600443.

It is not a de Polignac number, because 34400643501 - 21 = 34400643499 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400643509) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 117008845 + ... + 117009138.

It is an arithmetic number, because the mean of its divisors is an integer number (4446341696).

Almost surely, 234400643501 is an apocalyptic number.

It is an amenable number.

34400643501 is a deficient number, since it is larger than the sum of its proper divisors (18955456851).

34400643501 is a wasteful number, since it uses less digits than its factorization.

34400643501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234018000 (or 234017993 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 34400643501 in words is "thirty-four billion, four hundred million, six hundred forty-three thousand, five hundred one".

Divisors: 1 3 7 21 49 147 234017983 702053949 1638125881 4914377643 11466881167 34400643501