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453132240 = 243511171641
BaseRepresentation
bin11011000000100…
…011111111010000
31011120122111120120
4123000203333100
51412000212430
6112544110240
714141363151
oct3300437720
91146574516
10453132240
11212865a60
12107905380
1372b555b2
1444275928
1529bab610
hex1b023fd0

453132240 has 80 divisors (see below), whose sum is σ = 1532419776. Its totient is φ = 109849600.

The previous prime is 453132203. The next prime is 453132241. The reversal of 453132240 is 42231354.

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

It is a super-3 number, since 3×4531322403 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 453132240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453132241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83181 + ... + 88460.

Almost surely, 2453132240 is an apocalyptic number.

453132240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

453132240 is an abundant number, since it is smaller than the sum of its proper divisors (1079287536).

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

453132240 is a wasteful number, since it uses less digits than its factorization.

453132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171668 (or 171662 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 453132240 is about 21286.9030157043. The cubic root of 453132240 is about 768.0832971719.

Adding to 453132240 its reverse (42231354), we get a palindrome (495363594).

The spelling of 453132240 in words is "four hundred fifty-three million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 171641 343282 514923 686564 858205 1029846 1373128 1716410 1888051 2059692 2574615 2746256 3432820 3776102 4119384 5149230 5664153 6865640 7552204 8238768 9440255 10298460 11328306 13731280 15104408 18880510 20596920 22656612 28320765 30208816 37761020 41193840 45313224 56641530 75522040 90626448 113283060 151044080 226566120 453132240