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34023032110404 = 22324648920329201
BaseRepresentation
bin1111011110001100110101…
…01111100011110101000100
311110110120101121100220012100
413233012122233203311010
513424413132210013104
6200205544251152100
710111040311200261
oct757063257436504
9143416347326170
1034023032110404
11a9280a5714107
123995a84745630
1315ca486b5a57c
14858a1b576268
153e003ccd8139
hex1ef19abe3d44

34023032110404 has 36 divisors (see below), whose sum is σ = 86004518689180. Its totient is φ = 11340766195200.

The previous prime is 34023032110373. The next prime is 34023032110411. The reversal of 34023032110404 is 40401123032043.

34023032110404 is a `hidden beast` number, since 3 + 4 + 0 + 230 + 3 + 21 + 1 + 0 + 404 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21235599404100 + 12787432706304 = 4608210^2 + 3575952^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8490997 + ... + 11838204.

Almost surely, 234023032110404 is an apocalyptic number.

It is an amenable number.

34023032110404 is an abundant number, since it is smaller than the sum of its proper divisors (51981486578776).

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

34023032110404 is a wasteful number, since it uses less digits than its factorization.

34023032110404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20375700 (or 20375695 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34023032110404 its reverse (40401123032043), we get a palindrome (74424155142447).

The spelling of 34023032110404 in words is "thirty-four trillion, twenty-three billion, thirty-two million, one hundred ten thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 46489 92978 139467 185956 278934 418401 557868 836802 1673604 20329201 40658402 60987603 81316804 121975206 182962809 243950412 365925618 731851236 945084225289 1890168450578 2835252675867 3780336901156 5670505351734 8505758027601 11341010703468 17011516055202 34023032110404