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34144419 = 3471132143
BaseRepresentation
bin1000001001000…
…0000010100011
32101020201100010
42002100002203
532220110134
63215500003
7563136261
oct202200243
971221303
1034144419
1118301231
12b527603
1370c64ca
14476b431
152ee6ce9
hex20900a3

34144419 has 16 divisors (see below), whose sum is σ = 46927872. Its totient is φ = 22071168.

The previous prime is 34144417. The next prime is 34144441. The reversal of 34144419 is 91444143.

It is not a de Polignac number, because 34144419 - 21 = 34144417 is a prime.

It is a super-2 number, since 2×341444192 = 2331682697695122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34144417) 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 15 ways as a sum of consecutive naturals, for example, 14862 + ... + 17004.

It is an arithmetic number, because the mean of its divisors is an integer number (2932992).

Almost surely, 234144419 is an apocalyptic number.

34144419 is a deficient number, since it is larger than the sum of its proper divisors (12783453).

34144419 is a wasteful number, since it uses less digits than its factorization.

34144419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306.

The product of its digits is 6912, while the sum is 30.

The square root of 34144419 is about 5843.3225993436. The cubic root of 34144419 is about 324.4192199545.

It can be divided in two parts, 34 and 144419, that added together give a triangular number (144453 = T537).

The spelling of 34144419 in words is "thirty-four million, one hundred forty-four thousand, four hundred nineteen".

Divisors: 1 3 47 113 141 339 2143 5311 6429 15933 100721 242159 302163 726477 11381473 34144419