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343044312 = 233132831019
BaseRepresentation
bin10100011100100…
…111000011011000
3212220111110022220
4110130213003120
51200304404222
654012344040
711333554122
oct2434470330
9786443286
10343044312
111667042a6
1296a75020
13560bc200
14337ba212
15201b2b5c
hex147270d8

343044312 has 96 divisors (see below), whose sum is σ = 940766400. Its totient is φ = 104178048.

The previous prime is 343044271. The next prime is 343044319. The reversal of 343044312 is 213440343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343044319) 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 23 ways as a sum of consecutive naturals, for example, 336139 + ... + 337157.

It is an arithmetic number, because the mean of its divisors is an integer number (9799650).

Almost surely, 2343044312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343044312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470383200).

343044312 is an abundant number, since it is smaller than the sum of its proper divisors (597722088).

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

343044312 is a wasteful number, since it uses less digits than its factorization.

343044312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 343044312 is about 18521.4554503689. The cubic root of 343044312 is about 700.0301429197.

Adding to 343044312 its reverse (213440343), we get a palindrome (556484655).

The spelling of 343044312 in words is "three hundred forty-three million, forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 169 249 312 332 338 498 507 664 676 996 1014 1019 1079 1352 1992 2028 2038 2158 3057 3237 4056 4076 4316 6114 6474 8152 8632 12228 12948 13247 14027 24456 25896 26494 28054 39741 42081 52988 56108 79482 84162 84577 105976 112216 158964 168324 169154 172211 253731 317928 336648 338308 344422 507462 516633 676616 688844 1014924 1033266 1099501 1377688 2029848 2066532 2199002 3298503 4133064 4398004 6597006 8796008 13194012 14293513 26388024 28587026 42880539 57174052 85761078 114348104 171522156 343044312