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198144345 = 35712231543
BaseRepresentation
bin10111100111101…
…11000101011001
3111210211202221110
423303313011121
5401211104340
631354530533
74624125210
oct1363670531
9453752843
10198144345
11a1935863
1256436a49
1332087799
141c45c077
15125de680
hexbcf7159

198144345 has 32 divisors (see below), whose sum is σ = 362852352. Its totient is φ = 90447552.

The previous prime is 198144341. The next prime is 198144383. The reversal of 198144345 is 543441891.

It is not a de Polignac number, because 198144345 - 22 = 198144341 is a prime.

It is a super-3 number, since 3×1981443453 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (198144341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127644 + ... + 129186.

It is an arithmetic number, because the mean of its divisors is an integer number (11339136).

Almost surely, 2198144345 is an apocalyptic number.

198144345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

198144345 is a deficient number, since it is larger than the sum of its proper divisors (164708007).

198144345 is a wasteful number, since it uses less digits than its factorization.

198144345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781.

The product of its digits is 69120, while the sum is 39.

The square root of 198144345 is about 14076.3754212510. The cubic root of 198144345 is about 582.9892688482.

The spelling of 198144345 in words is "one hundred ninety-eight million, one hundred forty-four thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 1223 1543 3669 4629 6115 7715 8561 10801 18345 23145 25683 32403 42805 54005 128415 162015 1887089 5661267 9435445 13209623 28306335 39628869 66048115 198144345