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303140320 = 2557318731
BaseRepresentation
bin10010000100011…
…000110111100000
3210010102010100021
4102010120313200
51110100442240
650025203224
710340436010
oct2204306740
9703363307
10303140320
1114612989a
1285630514
134aa5a292
142c38dc40
151b92e54a
hex12118de0

303140320 has 96 divisors (see below), whose sum is σ = 844978176. Its totient is φ = 100569600.

The previous prime is 303140317. The next prime is 303140359. The reversal of 303140320 is 23041303.

303140320 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 303140294 and 303140303.

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 15 ways as a sum of consecutive naturals, for example, 30355 + ... + 39085.

It is an arithmetic number, because the mean of its divisors is an integer number (8801856).

Almost surely, 2303140320 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 303140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422489088).

303140320 is an abundant number, since it is smaller than the sum of its proper divisors (541837856).

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

303140320 is a wasteful number, since it uses less digits than its factorization.

303140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8784 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 303140320 is about 17410.9253056809. The cubic root of 303140320 is about 671.7606621226.

Adding to 303140320 its reverse (23041303), we get a palindrome (326181623).

The spelling of 303140320 in words is "three hundred three million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4960 6944 8680 8731 17360 17462 34720 34924 43655 61117 69848 87310 122234 139696 174620 244468 270661 279392 305585 349240 488936 541322 611170 698480 977872 1082644 1222340 1353305 1396960 1894627 1955744 2165288 2444680 2706610 3789254 4330576 4889360 5413220 7578508 8661152 9473135 9778720 10826440 15157016 18946270 21652880 30314032 37892540 43305760 60628064 75785080 151570160 303140320