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34022144 = 281310223
BaseRepresentation
bin1000000111001…
…0001100000000
32101000111121102
42001302030000
532202202034
63213113532
7562116632
oct201621400
971014542
1034022144
1118228382
12b4888a8
137082960
144738a52
152ec097e
hex2072300

34022144 has 36 divisors (see below), whose sum is σ = 73142496. Its totient is φ = 15700992.

The previous prime is 34022143. The next prime is 34022147. The reversal of 34022144 is 44122043.

It is not an unprimeable number, because it can be changed into a prime (34022143) 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 3 ways as a sum of consecutive naturals, for example, 1784 + ... + 8439.

It is an arithmetic number, because the mean of its divisors is an integer number (2031736).

Almost surely, 234022144 is an apocalyptic number.

It is an amenable number.

34022144 is an abundant number, since it is smaller than the sum of its proper divisors (39120352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34022144 is a wasteful number, since it uses less digits than its factorization.

34022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10252 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 34022144 is about 5832.8504181061. The cubic root of 34022144 is about 324.0314962015.

Adding to 34022144 its reverse (44122043), we get a palindrome (78144187).

The spelling of 34022144 in words is "thirty-four million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 10223 20446 40892 81784 132899 163568 265798 327136 531596 654272 1063192 1308544 2126384 2617088 4252768 8505536 17011072 34022144