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34144033 = 721163347
BaseRepresentation
bin1000001000111…
…1111100100001
32101020200210211
42002033330201
532220102113
63215454121
7563135200
oct202177441
971220724
1034144033
1118300a10
12b527341
1370c6291
14476b237
152ee6b3d
hex208ff21

34144033 has 12 divisors (see below), whose sum is σ = 43330032. Its totient is φ = 26605320.

The previous prime is 34144027. The next prime is 34144039. The reversal of 34144033 is 33044143.

It is an interprime number because it is at equal distance from previous prime (34144027) and next prime (34144039).

It is not a de Polignac number, because 34144033 - 25 = 34144001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34143995 and 34144013.

It is not an unprimeable number, because it can be changed into a prime (34144039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31135 + ... + 32212.

It is an arithmetic number, because the mean of its divisors is an integer number (3610836).

Almost surely, 234144033 is an apocalyptic number.

It is an amenable number.

34144033 is a deficient number, since it is larger than the sum of its proper divisors (9185999).

34144033 is a wasteful number, since it uses less digits than its factorization.

34144033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63372 (or 63365 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 34144033 is about 5843.2895700966. The cubic root of 34144033 is about 324.4179974385.

Adding to 34144033 its reverse (33044143), we get a palindrome (67188176).

It can be divided in two parts, 3414 and 4033, that added together give a palindrome (7447).

The spelling of 34144033 in words is "thirty-four million, one hundred forty-four thousand, thirty-three".

Divisors: 1 7 11 49 77 539 63347 443429 696817 3104003 4877719 34144033