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455645340 = 2232571101353
BaseRepresentation
bin11011001010001…
…001100010011100
31011202101011220100
4123022021202130
51413121122330
6113114021100
714201631033
oct3312114234
91152334810
10455645340
112142220a7
12108717790
1373525437
144472b71a
152a006060
hex1b28989c

455645340 has 144 divisors (see below), whose sum is σ = 1419477696. Its totient is φ = 118272000.

The previous prime is 455645317. The next prime is 455645357. The reversal of 455645340 is 43546554.

455645340 is a `hidden beast` number, since 4 + 5 + 5 + 645 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×4556453402 = 415225351727431200, which contains 22 as substring.

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 = 455645295 and 455645304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1290604 + ... + 1290956.

It is an arithmetic number, because the mean of its divisors is an integer number (9857484).

Almost surely, 2455645340 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 455645340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709738848).

455645340 is an abundant number, since it is smaller than the sum of its proper divisors (963832356).

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

455645340 is a wasteful number, since it uses less digits than its factorization.

455645340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 455645340 is about 21345.8506506534. The cubic root of 455645340 is about 769.5006263397.

The spelling of 455645340 in words is "four hundred fifty-five million, six hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 101 142 180 202 213 284 303 353 355 404 426 505 606 639 706 710 852 909 1010 1059 1065 1212 1278 1412 1420 1515 1765 1818 2020 2118 2130 2556 3030 3177 3195 3530 3636 4236 4260 4545 5295 6060 6354 6390 7060 7171 9090 10590 12708 12780 14342 15885 18180 21180 21513 25063 28684 31770 35653 35855 43026 50126 63540 64539 71306 71710 75189 86052 100252 106959 107565 125315 129078 142612 143420 150378 178265 213918 215130 225567 250630 258156 300756 320877 322695 356530 375945 427836 430260 451134 501260 534795 641754 645390 713060 751890 902268 1069590 1127835 1283508 1290780 1503780 1604385 2139180 2255670 2531363 3208770 4511340 5062726 6417540 7594089 10125452 12656815 15188178 22782267 25313630 30376356 37970445 45564534 50627260 75940890 91129068 113911335 151881780 227822670 455645340