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428733360 = 243251154133
BaseRepresentation
bin11001100011011…
…111001110110000
31002212201220121100
4121203133032300
51334223431420
6110313124400
713424113326
oct3143371660
91085656540
10428733360
112000107a0
12bb6b9700
136aa91ba3
1440d23d16
152798c190
hex198df3b0

428733360 has 120 divisors (see below), whose sum is σ = 1570752144. Its totient is φ = 103933440.

The previous prime is 428733359. The next prime is 428733367. The reversal of 428733360 is 63337824.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (428733367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19147 + ... + 34986.

Almost surely, 2428733360 is an apocalyptic number.

428733360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428733360 is an abundant number, since it is smaller than the sum of its proper divisors (1142018784).

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

428733360 is a wasteful number, since it uses less digits than its factorization.

428733360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54163 (or 54154 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 428733360 is about 20705.8774264700. The cubic root of 428733360 is about 754.0423863392.

The spelling of 428733360 in words is "four hundred twenty-eight million, seven hundred thirty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 54133 108266 162399 216532 270665 324798 433064 487197 541330 595463 649596 811995 866128 974394 1082660 1190926 1299192 1623990 1786389 1948788 2165320 2381852 2435985 2598384 2977315 3247980 3572778 3897576 4330640 4763704 4871970 5359167 5954630 6495960 7145556 7795152 8931945 9527408 9743940 10718334 11909260 12991920 14291112 17863890 19487880 21436668 23818520 26795835 28582224 35727780 38975760 42873336 47637040 53591670 71455560 85746672 107183340 142911120 214366680 428733360