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34224001 = 723743439
BaseRepresentation
bin1000001010001…
…1011110000001
32101101202111121
42002203132001
532230132001
63221312241
7563620300
oct202433601
971352447
1034224001
1118355aa9
12b565681
1371237b6
14478c437
1530106a1
hex20a3781

34224001 has 24 divisors (see below), whose sum is σ = 41933760. Its totient is φ = 27814752.

The previous prime is 34223993. The next prime is 34224007. The reversal of 34224001 is 10042243.

It is not a de Polignac number, because 34224001 - 23 = 34223993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34224007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77740 + ... + 78178.

It is an arithmetic number, because the mean of its divisors is an integer number (1747240).

Almost surely, 234224001 is an apocalyptic number.

It is an amenable number.

34224001 is a deficient number, since it is larger than the sum of its proper divisors (7709759).

34224001 is a wasteful number, since it uses less digits than its factorization.

34224001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34224001 is about 5850.1282891916. The cubic root of 34224001 is about 324.6710707566.

Adding to 34224001 its reverse (10042243), we get a palindrome (44266244).

The spelling of 34224001 in words is "thirty-four million, two hundred twenty-four thousand, one".

Divisors: 1 7 37 43 49 259 301 439 1591 1813 2107 3073 11137 16243 18877 21511 77959 113701 132139 698449 795907 924973 4889143 34224001