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144938346 = 23719296263
BaseRepresentation
bin10001010001110…
…01010101101010
3101002201122000220
420220321111222
5244101011341
622214310510
73406645530
oct1050712552
9332648026
10144938346
11748a5363
1240658436
1324049047
141536c150
15cacea66
hex8a3956a

144938346 has 64 divisors (see below), whose sum is σ = 360806400. Its totient is φ = 37872576.

The previous prime is 144938329. The next prime is 144938347. The reversal of 144938346 is 643839441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144938298 and 144938307.

It is not an unprimeable number, because it can be changed into a prime (144938347) 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 31 ways as a sum of consecutive naturals, for example, 20011 + ... + 26273.

It is an arithmetic number, because the mean of its divisors is an integer number (5637600).

Almost surely, 2144938346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144938346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180403200).

144938346 is an abundant number, since it is smaller than the sum of its proper divisors (215868054).

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

144938346 is a wasteful number, since it uses less digits than its factorization.

144938346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6323.

The product of its digits is 248832, while the sum is 42.

The square root of 144938346 is about 12039.0342635944. The cubic root of 144938346 is about 525.2843158411.

The spelling of 144938346 in words is "one hundred forty-four million, nine hundred thirty-eight thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 114 133 174 203 266 399 406 551 609 798 1102 1218 1653 3306 3857 6263 7714 11571 12526 18789 23142 37578 43841 87682 118997 131523 181627 237994 263046 356991 363254 544881 713982 832979 1089762 1271389 1665958 2498937 2542778 3450913 3814167 4997874 6901826 7628334 10352739 20705478 24156391 48312782 72469173 144938346