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301013064 = 233311151839
BaseRepresentation
bin10001111100010…
…001100001001000
3202222102001022000
4101330101201020
51104024404224
645511431000
710313366052
oct2174214110
9688361260
10301013064
11144a06630
1284985460
134a493c51
142bd988d2
151b65e0c9
hex11f11848

301013064 has 128 divisors (see below), whose sum is σ = 919296000. Its totient is φ = 90504000.

The previous prime is 301013059. The next prime is 301013107. The reversal of 301013064 is 460310103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 358357 + ... + 359195.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2301013064 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 301013064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648000).

301013064 is an abundant number, since it is smaller than the sum of its proper divisors (618282936).

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

301013064 is a wasteful number, since it uses less digits than its factorization.

301013064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 301013064 is about 17349.7280670332. The cubic root of 301013064 is about 670.1856350548.

Adding to 301013064 its reverse (460310103), we get a palindrome (761323167).

The spelling of 301013064 in words is "three hundred one million, thirteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 151 198 216 264 297 302 396 453 594 604 792 839 906 1188 1208 1359 1661 1678 1812 2376 2517 2718 3322 3356 3624 4077 4983 5034 5436 6644 6712 7551 8154 9229 9966 10068 10872 13288 14949 15102 16308 18458 19932 20136 22653 27687 29898 30204 32616 36916 39864 44847 45306 55374 59796 60408 73832 83061 89694 90612 110748 119592 126689 166122 179388 181224 221496 249183 253378 332244 358776 380067 498366 506756 664488 760134 996732 1013512 1140201 1393579 1520268 1993464 2280402 2787158 3040536 3420603 4180737 4560804 5574316 6841206 8361474 9121608 11148632 12542211 13682412 16722948 25084422 27364824 33445896 37626633 50168844 75253266 100337688 150506532 301013064