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34224096 = 253356501
BaseRepresentation
bin1000001010001…
…1011111100000
32101101202122010
42002203133200
532230132341
63221312520
7563620464
oct202433740
971352563
1034224096
1118356085
12b565740
13712385a
14478c4a4
153010716
hex20a37e0

34224096 has 24 divisors (see below), whose sum is σ = 89838504. Its totient is φ = 11408000.

The previous prime is 34224067. The next prime is 34224097. The reversal of 34224096 is 69042243.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34224097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178155 + ... + 178346.

It is an arithmetic number, because the mean of its divisors is an integer number (3743271).

Almost surely, 234224096 is an apocalyptic number.

It is an amenable number.

34224096 is an abundant number, since it is smaller than the sum of its proper divisors (55614408).

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

34224096 is a wasteful number, since it uses less digits than its factorization.

34224096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356514 (or 356506 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 34224096 is about 5850.1364086660. The cubic root of 34224096 is about 324.6713711669.

The spelling of 34224096 in words is "thirty-four million, two hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 356501 713002 1069503 1426004 2139006 2852008 4278012 5704016 8556024 11408032 17112048 34224096