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22034349 = 34272029
BaseRepresentation
bin101010000001…
…1011110101101
31112110110110000
41110003132231
521120044344
62104134513
7355201041
oct124033655
945413400
1022034349
111148a807
127467439
13474639c
142cd8021
151e03a69
hex15037ad

22034349 has 10 divisors (see below), whose sum is σ = 32915630. Its totient is φ = 14689512.

The previous prime is 22034347. The next prime is 22034371. The reversal of 22034349 is 94343022.

It is a happy number.

22034349 is a `hidden beast` number, since 220 + 3 + 434 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20088324 + 1946025 = 4482^2 + 1395^2 .

It is not a de Polignac number, because 22034349 - 21 = 22034347 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (22034347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 135934 + ... + 136095.

It is an arithmetic number, because the mean of its divisors is an integer number (3291563).

Almost surely, 222034349 is an apocalyptic number.

It is an amenable number.

22034349 is a deficient number, since it is larger than the sum of its proper divisors (10881281).

22034349 is an equidigital number, since it uses as much as digits as its factorization.

22034349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272041 (or 272032 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 22034349 is about 4694.0759474043. The cubic root of 22034349 is about 280.3496864012.

The spelling of 22034349 in words is "twenty-two million, thirty-four thousand, three hundred forty-nine".

Divisors: 1 3 9 27 81 272029 816087 2448261 7344783 22034349