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345134064 = 2431141107149
BaseRepresentation
bin10100100100100…
…101001111110000
3220001102121221010
4110210211033300
51201323242224
654125230520
711360406522
oct2444451760
9801377833
10345134064
11167901370
1297702440
1356671452
1433ba1a12
1520476e29
hex149253f0

345134064 has 160 divisors (see below), whose sum is σ = 1012435200. Its totient is φ = 100403200.

The previous prime is 345134063. The next prime is 345134093. The reversal of 345134064 is 460431543.

345134064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3451340643 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345134063) 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, 2316262 + ... + 2316410.

It is an arithmetic number, because the mean of its divisors is an integer number (6327720).

Almost surely, 2345134064 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 345134064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506217600).

345134064 is an abundant number, since it is smaller than the sum of its proper divisors (667301136).

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

345134064 is a wasteful number, since it uses less digits than its factorization.

345134064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 345134064 is about 18577.7841520457. The cubic root of 345134064 is about 701.4487437798.

The spelling of 345134064 in words is "three hundred forty-five million, one hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 107 123 132 149 164 176 214 246 264 298 321 328 428 447 451 492 528 596 642 656 856 894 902 984 1177 1192 1284 1353 1639 1712 1788 1804 1968 2354 2384 2568 2706 3278 3531 3576 3608 4387 4708 4917 5136 5412 6109 6556 7062 7152 7216 8774 9416 9834 10824 12218 13112 13161 14124 15943 17548 18327 18832 19668 21648 24436 26224 26322 28248 31886 35096 36654 39336 47829 48257 48872 52644 56496 63772 67199 70192 73308 78672 95658 96514 97744 105288 127544 134398 144771 146616 175373 191316 193028 201597 210576 255088 268796 289542 293232 350746 382632 386056 403194 526119 537592 579084 653663 701492 765264 772112 806388 1052238 1075184 1158168 1307326 1402984 1612776 1960989 2104476 2316336 2614652 2805968 3225552 3921978 4208952 5229304 7190293 7843956 8417904 10458608 14380586 15687912 21570879 28761172 31375824 43141758 57522344 86283516 115044688 172567032 345134064