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344108193 = 31113821977
BaseRepresentation
bin10100100000101…
…010110010100001
3212222111111200220
4110200222302201
51201042430233
654051233253
711345604612
oct2440526241
9788444626
10344108193
11167270640
12972a8829
13563a2520
14339b5c09
1520322eb3
hex1482aca1

344108193 has 32 divisors (see below), whose sum is σ = 540231552. Its totient is φ = 192076800.

The previous prime is 344108189. The next prime is 344108201. The reversal of 344108193 is 391801443.

It is not a de Polignac number, because 344108193 - 22 = 344108189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (344108993) 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, 351721 + ... + 352697.

It is an arithmetic number, because the mean of its divisors is an integer number (16882236).

Almost surely, 2344108193 is an apocalyptic number.

344108193 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

344108193 is a deficient number, since it is larger than the sum of its proper divisors (196123359).

344108193 is a wasteful number, since it uses less digits than its factorization.

344108193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 344108193 is about 18550.1534495001. The cubic root of 344108193 is about 700.7530623516.

The spelling of 344108193 in words is "three hundred forty-four million, one hundred eight thousand, one hundred ninety-three".

Divisors: 1 3 11 13 33 39 143 429 821 977 2463 2931 9031 10673 10747 12701 27093 32019 32241 38103 117403 139711 352209 419133 802117 2406351 8823287 10427521 26469861 31282563 114702731 344108193