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34144809 = 3103110501
BaseRepresentation
bin1000001001000…
…0001000101001
32101020201212120
42002100020221
532220113214
63215501453
7563140356
oct202201051
971221776
1034144809
1118301556
12b527889
1370c673a
14476b62d
152ee6ea9
hex2090229

34144809 has 8 divisors (see below), whose sum is σ = 45968832. Its totient is φ = 22542000.

The previous prime is 34144753. The next prime is 34144813. The reversal of 34144809 is 90844143.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34144809 - 28 = 34144553 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34144809.

It is not an unprimeable number, because it can be changed into a prime (34144819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54942 + ... + 55559.

It is an arithmetic number, because the mean of its divisors is an integer number (5746104).

Almost surely, 234144809 is an apocalyptic number.

It is an amenable number.

34144809 is a deficient number, since it is larger than the sum of its proper divisors (11824023).

34144809 is a wasteful number, since it uses less digits than its factorization.

34144809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110607.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 34144809 is about 5843.3559706730. The cubic root of 34144809 is about 324.4204551296.

It can be divided in two parts, 341 and 44809, that added together give a triangular number (45150 = T300).

The spelling of 34144809 in words is "thirty-four million, one hundred forty-four thousand, eight hundred nine".

Divisors: 1 3 103 309 110501 331503 11381603 34144809