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34142337 = 3310312277
BaseRepresentation
bin1000001000111…
…1100010000001
32101020121111000
42002033202001
532220023322
63215442213
7563130225
oct202174201
971217430
1034142337
11182aa709
12b526369
1370c5588
14476a785
152ee63ac
hex208f881

34142337 has 16 divisors (see below), whose sum is σ = 51076480. Its totient is φ = 22538736.

The previous prime is 34142333. The next prime is 34142357. The reversal of 34142337 is 73324143.

It is not a de Polignac number, because 34142337 - 22 = 34142333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34142337.

It is not an unprimeable number, because it can be changed into a prime (34142333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3358 + ... + 8919.

It is an arithmetic number, because the mean of its divisors is an integer number (3192280).

Almost surely, 234142337 is an apocalyptic number.

It is an amenable number.

34142337 is a deficient number, since it is larger than the sum of its proper divisors (16934143).

34142337 is a wasteful number, since it uses less digits than its factorization.

34142337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12389 (or 12383 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 34142337 is about 5843.1444445607. The cubic root of 34142337 is about 324.4126258603.

The spelling of 34142337 in words is "thirty-four million, one hundred forty-two thousand, three hundred thirty-seven".

Divisors: 1 3 9 27 103 309 927 2781 12277 36831 110493 331479 1264531 3793593 11380779 34142337