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344133201 = 33147131601
BaseRepresentation
bin10100100000110…
…000111001010001
3212222112210000010
4110200300321101
51201044230301
654051545133
711346040536
oct2440607121
9788483003
10344133201
11167288405
12972bb1a9
13563b0a19
14339c0d8d
152032a5d6
hex14830e51

344133201 has 32 divisors (see below), whose sum is σ = 488226816. Its totient is φ = 215280000.

The previous prime is 344133191. The next prime is 344133217. The reversal of 344133201 is 102331443.

It is not a de Polignac number, because 344133201 - 29 = 344132689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344133241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572301 + ... + 572901.

It is an arithmetic number, because the mean of its divisors is an integer number (15257088).

Almost surely, 2344133201 is an apocalyptic number.

344133201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

344133201 is a deficient number, since it is larger than the sum of its proper divisors (144093615).

344133201 is a wasteful number, since it uses less digits than its factorization.

344133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 344133201 is about 18550.8275017585. The cubic root of 344133201 is about 700.7700376406.

Adding to 344133201 its reverse (102331443), we get a palindrome (446464644).

The spelling of 344133201 in words is "three hundred forty-four million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 3 31 47 93 131 141 393 601 1457 1803 4061 4371 6157 12183 18471 18631 28247 55893 78731 84741 190867 236193 572601 875657 2440661 2626971 3700357 7321983 11101071 114711067 344133201