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465707340 = 223357123203
BaseRepresentation
bin11011110000100…
…010000101001100
31012110022101101000
4123300202011030
51423210113330
6114113420300
714353306230
oct3360420514
91173271330
10465707340
112199748aa
1210bb6a690
1375639297
1445bca5c0
152ad42560
hex1bc2214c

465707340 has 96 divisors (see below), whose sum is σ = 1655861760. Its totient is φ = 106446528.

The previous prime is 465707323. The next prime is 465707353. The reversal of 465707340 is 43707564.

465707340 is a `hidden beast` number, since 46 + 570 + 7 + 3 + 40 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 465707295 and 465707304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57822 + ... + 65381.

It is an arithmetic number, because the mean of its divisors is an integer number (17248560).

Almost surely, 2465707340 is an apocalyptic number.

It is an amenable number.

465707340 is an abundant number, since it is smaller than the sum of its proper divisors (1190154420).

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

465707340 is a wasteful number, since it uses less digits than its factorization.

465707340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123228 (or 123220 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 465707340 is about 21580.2534739516. The cubic root of 465707340 is about 775.1237207962.

The spelling of 465707340 in words is "four hundred sixty-five million, seven hundred seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 123203 246406 369609 492812 616015 739218 862421 1108827 1232030 1478436 1724842 1848045 2217654 2464060 2587263 3326481 3449684 3696090 4312105 4435308 5174526 5544135 6652962 7392180 7761789 8624210 10349052 11088270 12936315 13305924 15523578 16632405 17248420 22176540 23285367 25872630 31047156 33264810 38808945 46570734 51745260 66529620 77617890 93141468 116426835 155235780 232853670 465707340