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303305040 = 24335140419
BaseRepresentation
bin10010000101000…
…001000101010000
3210010201111022000
4102011001011100
51110121230130
650032514000
710342023153
oct2205010520
9703644260
10303305040
11146231625
12856ab900
134aab724c
142c3d3c9a
151b963260
hex12141150

303305040 has 80 divisors (see below), whose sum is σ = 1044724800. Its totient is φ = 80880768.

The previous prime is 303305039. The next prime is 303305069. The reversal of 303305040 is 40503303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68050 + ... + 72369.

It is an arithmetic number, because the mean of its divisors is an integer number (13059060).

Almost surely, 2303305040 is an apocalyptic number.

303305040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

303305040 is an abundant number, since it is smaller than the sum of its proper divisors (741419760).

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

303305040 is a wasteful number, since it uses less digits than its factorization.

303305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140441 (or 140429 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 303305040 is about 17415.6550264410. The cubic root of 303305040 is about 671.8823135746.

Adding to 303305040 its reverse (40503303), we get a palindrome (343808343).

The spelling of 303305040 in words is "three hundred three million, three hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 140419 280838 421257 561676 702095 842514 1123352 1263771 1404190 1685028 2106285 2246704 2527542 2808380 3370056 3791313 4212570 5055084 5616760 6318855 6740112 7582626 8425140 10110168 11233520 12637710 15165252 16850280 18956565 20220336 25275420 30330504 33700560 37913130 50550840 60661008 75826260 101101680 151652520 303305040